61990513459200 has 1080 divisors, whose sum is σ = 226691440662960. Its totient is φ = 16188073574400.

The previous prime is 61990513459157. The next prime is 61990513459201. The reversal of 61990513459200 is 295431509916.

61990513459200 is a `hidden beast` number, since 6 + 1 + 9 + 90 + 5 + 1 + 345 + 9 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (61990513459201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 91566489262 + ... + 91566489938.

Almost surely, 2^{61990513459200} is an apocalyptic number.

61990513459200 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 61990513459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113345720331480).

61990513459200 is an abundant number, since it is smaller than the sum of its proper divisors (164700927203760).

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

61990513459200 is a wasteful number, since it uses less digits than its factorization.

61990513459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 61990513459200 in words is "sixty-one trillion, nine hundred ninety billion, five hundred thirteen million, four hundred fifty-nine thousand, two hundred".