57154406400 has 1728 divisors, whose sum is σ = 266157964800. Its totient is φ = 11395399680.

The previous prime is 57154406383. The next prime is 57154406401. The reversal of 57154406400 is 460445175.

57154406400 is a `hidden beast` number, since 5 + 7 + 1 + 5 + 4 + 4 + 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 not an unprimeable number, because it can be changed into a prime (57154406401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1216051177 + ... + 1216051223.

It is an arithmetic number, because the mean of its divisors is an integer number (154026600).

Almost surely, 2^57154406400 is an apocalyptic number.

57154406400 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 57154406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133078982400).

57154406400 is an abundant number, since it is smaller than the sum of its proper divisors (209003558400).

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

57154406400 is a wasteful number, since it uses less digits than its factorization.

57154406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 57154406400 in words is "fifty-seven billion, one hundred fifty-four million, four hundred six thousand, four hundred".