61056253440 has 1280 divisors, whose sum is σ = 283121879040. Its totient is φ = 12103188480.

The previous prime is 61056253439. The next prime is 61056253441. The reversal of 61056253440 is 4435265016.

61056253440 is a `hidden beast` number, since 6 + 1 + 0 + 562 + 53 + 4 + 40 = 666.

61056253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61056253439) and next prime (61056253441).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61056253395 and 61056253404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61056253441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106928355 + ... + 106928925.

It is an arithmetic number, because the mean of its divisors is an integer number (221188968).

Almost surely, 2^61056253440 is an apocalyptic number.

61056253440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61056253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141560939520).

61056253440 is an abundant number, since it is smaller than the sum of its proper divisors (222065625600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61056253440 is a wasteful number, since it uses less digits than its factorization.

61056253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 61056253440 in words is "sixty-one billion, fifty-six million, two hundred fifty-three thousand, four hundred forty".