53040233106432 has 2816 divisors, whose sum is σ = 205743347712000. Its totient is φ = 13408979189760.

The previous prime is 53040233106403. The next prime is 53040233106433. The reversal of 53040233106432 is 23460133204035.

53040233106432 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 0 + 2 + 3 + 3 + 1 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53040233106433) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 139947844419 + ... + 139947844797.

Almost surely, 2^{53040233106432} is an apocalyptic number.

53040233106432 is a gapful number since it is divisible by the number (52) 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 53040233106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102871673856000).

53040233106432 is an abundant number, since it is smaller than the sum of its proper divisors (152703114605568).

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

53040233106432 is a wasteful number, since it uses less digits than its factorization.

53040233106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 53040233106432 in words is "fifty-three trillion, forty billion, two hundred thirty-three million, one hundred six thousand, four hundred thirty-two".