57462266400 has 576 divisors, whose sum is σ = 234974960640. Its totient is φ = 11849011200.

The previous prime is 57462266359. The next prime is 57462266401. The reversal of 57462266400 is 466226475.

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

It is not an unprimeable number, because it can be changed into a prime (57462266401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25686082 + ... + 25688318.

It is an arithmetic number, because the mean of its divisors is an integer number (407942640).

Almost surely, 2^57462266400 is an apocalyptic number.

57462266400 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 57462266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117487480320).

57462266400 is an abundant number, since it is smaller than the sum of its proper divisors (177512694240).

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

57462266400 is a wasteful number, since it uses less digits than its factorization.

57462266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 57462266400 in words is "fifty-seven billion, four hundred sixty-two million, two hundred sixty-six thousand, four hundred".