57390890240000 has 960 divisors, whose sum is σ = 158057355456000. Its totient is φ = 20732313600000.

The previous prime is 57390890239933. The next prime is 57390890240003. The reversal of 57390890240000 is 4209809375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57390890240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100509439715 + ... + 100509440285.

It is an arithmetic number, because the mean of its divisors is an integer number (164643078600).

Almost surely, 2^{57390890240000} is an apocalyptic number.

57390890240000 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 57390890240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79028677728000).

57390890240000 is an abundant number, since it is smaller than the sum of its proper divisors (100666465216000).

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

57390890240000 is a wasteful number, since it uses less digits than its factorization.

57390890240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 57390890240000 in words is "fifty-seven trillion, three hundred ninety billion, eight hundred ninety million, two hundred forty thousand".