61152952320 has 350 divisors, whose sum is σ = 220049958498. Its totient is φ = 16307453952.

The previous prime is 61152952271. The next prime is 61152952331. The reversal of 61152952320 is 2325925116.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)⁴ ⋅ (2!)⁸.

61152952320 is a `hidden beast` number, since 61 + 1 + 52 + 9 + 523 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48922361856 + 12230590464 = 221184^2 + 110592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 12230590462 + ... + 12230590466.

Almost surely, 2^61152952320 is an apocalyptic number.

61152952320 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 61152952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024979249).

61152952320 is an abundant number, since it is smaller than the sum of its proper divisors (158897006178).

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

61152952320 is an frugal number, since it uses more digits than its factorization.

61152952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 61152952320 in words is "sixty-one billion, one hundred fifty-two million, nine hundred fifty-two thousand, three hundred twenty".