2057517551088 has 560 divisors, whose sum is σ = 6343873430400. Its totient is φ = 645175964160.

The previous prime is 2057517551081. The next prime is 2057517551093. The reversal of 2057517551088 is 8801557157502.

2057517551088 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 5 + 1 + 7 + 551 + 0 + 88 = 666.

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 (2057517551081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2614380231 + ... + 2614381017.

Almost surely, 2^{2057517551088} 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 2057517551088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171936715200).

2057517551088 is an abundant number, since it is smaller than the sum of its proper divisors (4286355879312).

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

2057517551088 is a wasteful number, since it uses less digits than its factorization.

2057517551088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 3920000, while the sum is 54.

The spelling of 2057517551088 in words is "two trillion, fifty-seven billion, five hundred seventeen million, five hundred fifty-one thousand, eighty-eight".