101952848390400 has 648 divisors, whose sum is σ = 417777588481344. Its totient is φ = 23236319232000.

The previous prime is 101952848390333. The next prime is 101952848390413. The reversal of 101952848390400 is 4093848259101.

It is a happy number.

101952848390400 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 528 + 48 + 39 + 0 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139546050 + ... + 140274750.

Almost surely, 2^{101952848390400} is an apocalyptic number.

101952848390400 is a gapful number since it is divisible by the number (10) 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 101952848390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208888794240672).

101952848390400 is an abundant number, since it is smaller than the sum of its proper divisors (315824740090944).

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

101952848390400 is a wasteful number, since it uses less digits than its factorization.

101952848390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729087 (or 729065 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 101952848390400 in words is "one hundred one trillion, nine hundred fifty-two billion, eight hundred forty-eight million, three hundred ninety thousand, four hundred".