53151838737408 has 308 divisors, whose sum is σ = 159412791143808. Its totient is φ = 17705267712000.

The previous prime is 53151838737397. The next prime is 53151838737419. The reversal of 53151838737408 is 80473783815135.

53151838737408 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 183 + 87 + 374 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (53151838737397) and next prime (53151838737419).

It is a super-2 number, since 2×53151838737408² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1136890033 + ... + 1136936783.

Almost surely, 2^{53151838737408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53151838737408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79706395571904).

53151838737408 is an abundant number, since it is smaller than the sum of its proper divisors (106260952406400).

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

53151838737408 is an equidigital number, since it uses as much as digits as its factorization.

53151838737408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48312 (or 48279 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 53151838737408 in words is "fifty-three trillion, one hundred fifty-one billion, eight hundred thirty-eight million, seven hundred thirty-seven thousand, four hundred eight".