52115951687436 has 2160 divisors, whose sum is σ = 193604016491424. Its totient is φ = 12067621429248.

The previous prime is 52115951687411. The next prime is 52115951687461. The reversal of 52115951687436 is 63478615951125.

52115951687436 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 5 + 9 + 516 + 87 + 4 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (52115951687411) and next prime (52115951687461).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 79810032886 + ... + 79810033538.

Almost surely, 2^{52115951687436} 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 52115951687436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96802008245712).

52115951687436 is an abundant number, since it is smaller than the sum of its proper divisors (141488064803988).

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

52115951687436 is a wasteful number, since it uses less digits than its factorization.

52115951687436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 761 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 52115951687436 in words is "fifty-two trillion, one hundred fifteen billion, nine hundred fifty-one million, six hundred eighty-seven thousand, four hundred thirty-six".