53213542400 has 72 divisors (see below), whose sum is σ = 131937492960. Its totient is φ = 21285396480.

The previous prime is 53213542381. The next prime is 53213542429. The reversal of 53213542400 is 424531235.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 468464 + ... + 570863.

It is an arithmetic number, because the mean of its divisors is an integer number (1832465180).

Almost surely, 2^53213542400 is an apocalyptic number.

53213542400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53213542400 is an abundant number, since it is smaller than the sum of its proper divisors (78723950560).

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

53213542400 is a wasteful number, since it uses less digits than its factorization.

53213542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039359 (or 1039334 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 53213542400 in words is "fifty-three billion, two hundred thirteen million, five hundred forty-two thousand, four hundred".