57148146155520 has 2048 divisors, whose sum is σ = 246570981120000. Its totient is φ = 12267282235392.

The previous prime is 57148146155467. The next prime is 57148146155521. The reversal of 57148146155520 is 2555164184175.

57148146155520 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 8 + 1 + 4 + 61 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57148146155521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80603872926 + ... + 80603873634.

It is an arithmetic number, because the mean of its divisors is an integer number (120395986875).

Almost surely, 2^{57148146155520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57148146155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123285490560000).

57148146155520 is an abundant number, since it is smaller than the sum of its proper divisors (189422834964480).

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

57148146155520 is a wasteful number, since it uses less digits than its factorization.

57148146155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 57148146155520 in words is "fifty-seven trillion, one hundred forty-eight billion, one hundred forty-six million, one hundred fifty-five thousand, five hundred twenty".