57420158400000 has 1440 divisors, whose sum is σ = 237870637804800. Its totient is φ = 13186713600000.

The previous prime is 57420158399969. The next prime is 57420158400049. The reversal of 57420158400000 is 485102475.

57420158400000 is a `hidden beast` number, since 5 + 74 + 2 + 0 + 1 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 3009590461 + ... + 3009609539.

It is an arithmetic number, because the mean of its divisors is an integer number (165187942920).

Almost surely, 2^{57420158400000} is an apocalyptic number.

57420158400000 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 57420158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118935318902400).

57420158400000 is an abundant number, since it is smaller than the sum of its proper divisors (180450479404800).

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

57420158400000 is a wasteful number, since it uses less digits than its factorization.

57420158400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19158 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 57420158400000 in words is "fifty-seven trillion, four hundred twenty billion, one hundred fifty-eight million, four hundred thousand".