57011314200000 has 168 divisors, whose sum is σ = 188540978948784. Its totient is φ = 15203016960000.

The previous prime is 57011314199989. The next prime is 57011314200007. The reversal of 57011314200000 is 241311075.

It is a super-2 number, since 2×57011314200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57011314200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46909429 + ... + 48109428.

It is an arithmetic number, because the mean of its divisors is an integer number (1122267731838).

Almost surely, 2^{57011314200000} is an apocalyptic number.

57011314200000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57011314200000 is an abundant number, since it is smaller than the sum of its proper divisors (131529664748784).

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

57011314200000 is an frugal number, since it uses more digits than its factorization.

57011314200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95018897 (or 95018867 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 57011314200000 its reverse (241311075), we get a palindrome (57011555511075).

The spelling of 57011314200000 in words is "fifty-seven trillion, eleven billion, three hundred fourteen million, two hundred thousand".