53399213568000 has 1248 divisors, whose sum is σ = 203789346171840. Its totient is φ = 13427579289600.

The previous prime is 53399213567993. The next prime is 53399213568023. The reversal of 53399213568000 is 86531299335.

53399213568000 is a `hidden beast` number, since 53 + 3 + 9 + 9 + 21 + 3 + 568 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5746171354 + ... + 5746180646.

It is an arithmetic number, because the mean of its divisors is an integer number (163292745330).

Almost surely, 2^{53399213568000} is an apocalyptic number.

53399213568000 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 53399213568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101894673085920).

53399213568000 is an abundant number, since it is smaller than the sum of its proper divisors (150390132603840).

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

53399213568000 is a wasteful number, since it uses less digits than its factorization.

53399213568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 53399213568000 in words is "fifty-three trillion, three hundred ninety-nine billion, two hundred thirteen million, five hundred sixty-eight thousand".