61552157399040 has 3072 divisors, whose sum is σ = 275952577904640. Its totient is φ = 11315183616000.

The previous prime is 61552157398957. The next prime is 61552157399059. The reversal of 61552157399040 is 4099375125516.

61552157399040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56418108895 + ... + 56418109985.

It is an arithmetic number, because the mean of its divisors is an integer number (89828313120).

Almost surely, 2^{61552157399040} is an apocalyptic number.

61552157399040 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 61552157399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137976288952320).

61552157399040 is an abundant number, since it is smaller than the sum of its proper divisors (214400420505600).

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

61552157399040 is a wasteful number, since it uses less digits than its factorization.

61552157399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 57.

The spelling of 61552157399040 in words is "sixty-one trillion, five hundred fifty-two billion, one hundred fifty-seven million, three hundred ninety-nine thousand, forty".