53307596378400 has 576 divisors, whose sum is σ = 213596536946688. Its totient is φ = 11245310300160.

The previous prime is 53307596378389. The next prime is 53307596378401. The reversal of 53307596378400 is 487369570335.

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

It is not an unprimeable number, because it can be changed into a prime (53307596378401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1442950329 + ... + 1442987271.

It is an arithmetic number, because the mean of its divisors is an integer number (370827321088).

Almost surely, 2^{53307596378400} is an apocalyptic number.

53307596378400 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 53307596378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106798268473344).

53307596378400 is an abundant number, since it is smaller than the sum of its proper divisors (160288940568288).

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

53307596378400 is a wasteful number, since it uses less digits than its factorization.

53307596378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43593 (or 43580 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 53307596378400 in words is "fifty-three trillion, three hundred seven billion, five hundred ninety-six million, three hundred seventy-eight thousand, four hundred".