61535158272 has 560 divisors, whose sum is σ = 220049755200. Its totient is φ = 16817061888.

The previous prime is 61535158219. The next prime is 61535158273. The reversal of 61535158272 is 27285153516.

61535158272 is a `hidden beast` number, since 6 + 1 + 53 + 515 + 82 + 7 + 2 = 666.

Its product of digits (504000) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (61535158273) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2675441653 + ... + 2675441675.

Almost surely, 2^61535158272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61535158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024877600).

61535158272 is an abundant number, since it is smaller than the sum of its proper divisors (158514596928).

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

61535158272 is an frugal number, since it uses more digits than its factorization.

61535158272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 61535158272 in words is "sixty-one billion, five hundred thirty-five million, one hundred fifty-eight thousand, two hundred seventy-two".