57478505515200 has 7560 divisors, whose sum is σ = 295847037911040. Its totient is φ = 10863756288000.

The previous prime is 57478505515157. The next prime is 57478505515217. The reversal of 57478505515200 is 251550587475.

57478505515200 is a `hidden beast` number, since 5 + 7 + 4 + 7 + 85 + 0 + 551 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 1079 ways as a sum of consecutive naturals, for example, 452586657537 + ... + 452586657663.

Almost surely, 2^{57478505515200} is an apocalyptic number.

57478505515200 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 57478505515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147923518955520).

57478505515200 is an abundant number, since it is smaller than the sum of its proper divisors (238368532395840).

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

57478505515200 is a wasteful number, since it uses less digits than its factorization.

57478505515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 9800000, while the sum is 54.

The spelling of 57478505515200 in words is "fifty-seven trillion, four hundred seventy-eight billion, five hundred five million, five hundred fifteen thousand, two hundred".