53652874600000 has 336 divisors, whose sum is σ = 144581401104336. Its totient is φ = 19634872320000.

The previous prime is 53652874599991. The next prime is 53652874600051. The reversal of 53652874600000 is 647825635.

It can be written as a sum of positive squares in 24 ways, for example, as 32369636482624 + 21283238117376 = 5689432^2 + 4613376^2 .

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, 293708692 + ... + 293891308.

It is an arithmetic number, because the mean of its divisors is an integer number (430301789001).

Almost surely, 2^{53652874600000} is an apocalyptic number.

53652874600000 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 53652874600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72290700552168).

53652874600000 is an abundant number, since it is smaller than the sum of its proper divisors (90928526504336).

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

53652874600000 is a wasteful number, since it uses less digits than its factorization.

53652874600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182780 (or 182750 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 53652874600000 in words is "fifty-three trillion, six hundred fifty-two billion, eight hundred seventy-four million, six hundred thousand".