57377349120 has 1280 divisors, whose sum is σ = 247484160000. Its totient is φ = 10999037952.

The previous prime is 57377349089. The next prime is 57377349121. The reversal of 57377349120 is 2194377375.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57377349120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57377349121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385082806 + ... + 385082954.

It is an arithmetic number, because the mean of its divisors is an integer number (193347000).

Almost surely, 2^57377349120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57377349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080000).

57377349120 is an abundant number, since it is smaller than the sum of its proper divisors (190106810880).

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

57377349120 is a wasteful number, since it uses less digits than its factorization.

57377349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 57377349120 in words is "fifty-seven billion, three hundred seventy-seven million, three hundred forty-nine thousand, one hundred twenty".