57438893769600 has 384 divisors, whose sum is σ = 221244706932480. Its totient is φ = 12823566336000.

The previous prime is 57438893769583. The next prime is 57438893769619. The reversal of 57438893769600 is 696739883475.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7049301 + ... + 12828500.

It is an arithmetic number, because the mean of its divisors is an integer number (576158090970).

Almost surely, 2^{57438893769600} is an apocalyptic number.

57438893769600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57438893769600 is an abundant number, since it is smaller than the sum of its proper divisors (163805813162880).

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

57438893769600 is a wasteful number, since it uses less digits than its factorization.

57438893769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19877878 (or 19877861 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 75.

The spelling of 57438893769600 in words is "fifty-seven trillion, four hundred thirty-eight billion, eight hundred ninety-three million, seven hundred sixty-nine thousand, six hundred".