52640146046400 has 672 divisors, whose sum is σ = 199924519583232. Its totient is φ = 11984211148800.

The previous prime is 52640146046363. The next prime is 52640146046419. The reversal of 52640146046400 is 464064104625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410139037 + ... + 410267363.

Almost surely, 2^{52640146046400} is an apocalyptic number.

52640146046400 is a gapful number since it is divisible by the number (50) 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 52640146046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99962259791616).

52640146046400 is an abundant number, since it is smaller than the sum of its proper divisors (147284373536832).

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

52640146046400 is a wasteful number, since it uses less digits than its factorization.

52640146046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128837 (or 128822 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 52640146046400 in words is "fifty-two trillion, six hundred forty billion, one hundred forty-six million, forty-six thousand, four hundred".