57563006400 has 588 divisors, whose sum is σ = 224933786352. Its totient is φ = 14442209280.

The previous prime is 57563006359. The next prime is 57563006419. The reversal of 57563006400 is 460036575.

57563006400 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 3 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19827349 + ... + 19830251.

Almost surely, 2^57563006400 is an apocalyptic number.

57563006400 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 57563006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112466893176).

57563006400 is an abundant number, since it is smaller than the sum of its proper divisors (167370779952).

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

57563006400 is a wasteful number, since it uses less digits than its factorization.

57563006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 57563006400 in words is "fifty-seven billion, five hundred sixty-three million, six thousand, four hundred".