61925210498304 has 720 divisors, whose sum is σ = 198248745192960. Its totient is φ = 19175392051200.

The previous prime is 61925210498233. The next prime is 61925210498339. The reversal of 61925210498304 is 40389401252916.

It is a happy number.

61925210498304 is a `hidden beast` number, since 6 + 1 + 92 + 52 + 10 + 498 + 3 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10605445017 + ... + 10605450855.

Almost surely, 2^{61925210498304} is an apocalyptic number.

61925210498304 is a gapful number since it is divisible by the number (64) 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 61925210498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99124372596480).

61925210498304 is an abundant number, since it is smaller than the sum of its proper divisors (136323534694656).

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

61925210498304 is a wasteful number, since it uses less digits than its factorization.

61925210498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 61925210498304 in words is "sixty-one trillion, nine hundred twenty-five billion, two hundred ten million, four hundred ninety-eight thousand, three hundred four".