57146342400 has 1320 divisors, whose sum is σ = 251602436096. Its totient is φ = 12541132800.

The previous prime is 57146342359. The next prime is 57146342423. The reversal of 57146342400 is 424364175.

57146342400 is a `hidden beast` number, since 5 + 7 + 14 + 634 + 2 + 4 + 0 + 0 = 666.

57146342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 119 ways as a sum of consecutive naturals, for example, 449971137 + ... + 449971263.

Almost surely, 2^57146342400 is an apocalyptic number.

57146342400 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 57146342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125801218048).

57146342400 is an abundant number, since it is smaller than the sum of its proper divisors (194456093696).

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

57146342400 is a wasteful number, since it uses less digits than its factorization.

57146342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 57146342400 in words is "fifty-seven billion, one hundred forty-six million, three hundred forty-two thousand, four hundred".