61260078312600 has 192 divisors, whose sum is σ = 193499403236640. Its totient is φ = 16026963763200.

The previous prime is 61260078312599. The next prime is 61260078312619. The reversal of 61260078312600 is 621387006216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831882982 + ... + 831956618.

Almost surely, 2^{61260078312600} is an apocalyptic number.

61260078312600 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 61260078312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96749701618320).

61260078312600 is an abundant number, since it is smaller than the sum of its proper divisors (132239324924040).

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

61260078312600 is a wasteful number, since it uses less digits than its factorization.

61260078312600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99870 (or 99861 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 61260078312600 in words is "sixty-one trillion, two hundred sixty billion, seventy-eight million, three hundred twelve thousand, six hundred".