92947725066240 has 672 divisors, whose sum is σ = 351650478816000. Its totient is φ = 22522492354560.

The previous prime is 92947725066221. The next prime is 92947725066269. The reversal of 92947725066240 is 4266052774929.

92947725066240 is a `hidden beast` number, since 9 + 29 + 4 + 7 + 7 + 2 + 506 + 62 + 40 = 666.

It is a super-2 number, since 2×92947725066240² (a number of 29 digits) contains 22 as substring.

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, 12647666086 + ... + 12647673434.

It is an arithmetic number, because the mean of its divisors is an integer number (523289403000).

Almost surely, 2^{92947725066240} is an apocalyptic number.

92947725066240 is a gapful number since it is divisible by the number (90) 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 92947725066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175825239408000).

92947725066240 is an abundant number, since it is smaller than the sum of its proper divisors (258702753749760).

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

92947725066240 is a wasteful number, since it uses less digits than its factorization.

92947725066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 92947725066240 in words is "ninety-two trillion, nine hundred forty-seven billion, seven hundred twenty-five million, sixty-six thousand, two hundred forty".