61914751621920 has 192 divisors, whose sum is σ = 223692006343680. Its totient is φ = 15978000384000.

The previous prime is 61914751621883. The next prime is 61914751621937. The reversal of 61914751621920 is 2912615741916.

61914751621920 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 4 + 7 + 5 + 1 + 621 + 9 + 2 + 0 = 666.

61914751621920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×61914751621920⁵ (a number of 70 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231029281 + ... + 231297120.

It is an arithmetic number, because the mean of its divisors is an integer number (1165062533040).

Almost surely, 2^{61914751621920} is an apocalyptic number.

61914751621920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61914751621920 is an abundant number, since it is smaller than the sum of its proper divisors (161777254721760).

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

61914751621920 is a wasteful number, since it uses less digits than its factorization.

61914751621920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462326456 (or 462326442 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 61914751621920 in words is "sixty-one trillion, nine hundred fourteen billion, seven hundred fifty-one million, six hundred twenty-one thousand, nine hundred twenty".