61552595520 has 448 divisors, whose sum is σ = 237082218240. Its totient is φ = 14941863936.

The previous prime is 61552595519. The next prime is 61552595543. The reversal of 61552595520 is 2559525516.

61552595520 is a `hidden beast` number, since 6 + 1 + 5 + 5 + 2 + 595 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8195607 + ... + 8203113.

It is an arithmetic number, because the mean of its divisors is an integer number (529201380).

Almost surely, 2^61552595520 is an apocalyptic number.

61552595520 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 61552595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118541109120).

61552595520 is an abundant number, since it is smaller than the sum of its proper divisors (175529622720).

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

61552595520 is a wasteful number, since it uses less digits than its factorization.

61552595520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 61552595520 in words is "sixty-one billion, five hundred fifty-two million, five hundred ninety-five thousand, five hundred twenty".