61150852800 has 588 divisors, whose sum is σ = 228238598640. Its totient is φ = 16116848640.

The previous prime is 61150852769. The next prime is 61150852843. The reversal of 61150852800 is 825805116.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 120138946 + ... + 120139454.

Almost surely, 2^61150852800 is an apocalyptic number.

61150852800 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 61150852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114119299320).

61150852800 is an abundant number, since it is smaller than the sum of its proper divisors (167087745840).

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

61150852800 is a wasteful number, since it uses less digits than its factorization.

61150852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 61150852800 in words is "sixty-one billion, one hundred fifty million, eight hundred fifty-two thousand, eight hundred".