1957598638128 has 160 divisors (see below), whose sum is σ = 6422294661120. Its totient is φ = 559266647040.

The previous prime is 1957598638043. The next prime is 1957598638129. The reversal of 1957598638128 is 8218368957591.

1957598638128 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 598 + 6 + 3 + 8 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1957598638129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52378168 + ... + 52415528.

It is an arithmetic number, because the mean of its divisors is an integer number (40139341632).

Almost surely, 2^{1957598638128} is an apocalyptic number.

1957598638128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1957598638128 is an abundant number, since it is smaller than the sum of its proper divisors (4464696022992).

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

1957598638128 is a wasteful number, since it uses less digits than its factorization.

1957598638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54712 (or 54700 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 1957598638128 in words is "one trillion, nine hundred fifty-seven billion, five hundred ninety-eight million, six hundred thirty-eight thousand, one hundred twenty-eight".