61255380240 has 240 divisors, whose sum is σ = 208831633920. Its totient is φ = 16088417280.

The previous prime is 61255380191. The next prime is 61255380253. The reversal of 61255380240 is 4208355216.

61255380240 is a `hidden beast` number, since 6 + 1 + 2 + 553 + 80 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 61255380195 and 61255380204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28609570 + ... + 28611710.

It is an arithmetic number, because the mean of its divisors is an integer number (870131808).

Almost surely, 2^61255380240 is an apocalyptic number.

61255380240 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 61255380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415816960).

61255380240 is an abundant number, since it is smaller than the sum of its proper divisors (147576253680).

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

61255380240 is a wasteful number, since it uses less digits than its factorization.

61255380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 61255380240 in words is "sixty-one billion, two hundred fifty-five million, three hundred eighty thousand, two hundred forty".