52397386400 has 144 divisors (see below), whose sum is σ = 136709125056. Its totient is φ = 19541176320.

The previous prime is 52397386373. The next prime is 52397386411. The reversal of 52397386400 is 468379325.

It is a happy number.

It is a super-2 number, since 2×52397386400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1437197 + ... + 1473203.

It is an arithmetic number, because the mean of its divisors is an integer number (949368924).

Almost surely, 2^52397386400 is an apocalyptic number.

52397386400 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 52397386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68354562528).

52397386400 is an abundant number, since it is smaller than the sum of its proper divisors (84311738656).

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

52397386400 is a wasteful number, since it uses less digits than its factorization.

52397386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36151 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 52397386400 in words is "fifty-two billion, three hundred ninety-seven million, three hundred eighty-six thousand, four hundred".