61152372288 has 336 divisors, whose sum is σ = 205319522304. Its totient is φ = 17039047680.

The previous prime is 61152372277. The next prime is 61152372317. The reversal of 61152372288 is 88227325116.

61152372288 is a `hidden beast` number, since 611 + 5 + 2 + 3 + 7 + 2 + 28 + 8 = 666.

61152372288 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 (336).

It is a super-2 number, since 2×61152372288² (a number of 22 digits) contains 22 as substring.

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, 88498023 + ... + 88498713.

Almost surely, 2^61152372288 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 61152372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102659761152).

61152372288 is an abundant number, since it is smaller than the sum of its proper divisors (144167150016).

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

61152372288 is a wasteful number, since it uses less digits than its factorization.

61152372288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 61152372288 in words is "sixty-one billion, one hundred fifty-two million, three hundred seventy-two thousand, two hundred eighty-eight".