57033202934400 has 768 divisors, whose sum is σ = 234264361835520. Its totient is φ = 11848126464000.

The previous prime is 57033202934333. The next prime is 57033202934413. The reversal of 57033202934400 is 443920233075.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4307311780 + ... + 4307325020.

It is an arithmetic number, because the mean of its divisors is an integer number (305031721140).

Almost surely, 2^{57033202934400} is an apocalyptic number.

57033202934400 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 57033202934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117132180917760).

57033202934400 is an abundant number, since it is smaller than the sum of its proper divisors (177231158901120).

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

57033202934400 is a wasteful number, since it uses less digits than its factorization.

57033202934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19113 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 57033202934400 in words is "fifty-seven trillion, thirty-three billion, two hundred two million, nine hundred thirty-four thousand, four hundred".