52157379069600 has 288 divisors, whose sum is σ = 194053500781056. Its totient is φ = 11919963110400.

The previous prime is 52157379069533. The next prime is 52157379069611. The reversal of 52157379069600 is 696097375125.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 117832695 + ... + 118274505.

It is an arithmetic number, because the mean of its divisors is an integer number (673796877712).

Almost surely, 2^{52157379069600} is an apocalyptic number.

52157379069600 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 52157379069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97026750390528).

52157379069600 is an abundant number, since it is smaller than the sum of its proper divisors (141896121711456).

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

52157379069600 is a wasteful number, since it uses less digits than its factorization.

52157379069600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448868 (or 448855 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 60.

The spelling of 52157379069600 in words is "fifty-two trillion, one hundred fifty-seven billion, three hundred seventy-nine million, sixty-nine thousand, six hundred".