1157627450100 has 72 divisors (see below), whose sum is σ = 3653893198368. Its totient is φ = 280636956800.

The previous prime is 1157627450059. The next prime is 1157627450107. The reversal of 1157627450100 is 10547267511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157627450107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175394799 + ... + 175401398.

It is an arithmetic number, because the mean of its divisors is an integer number (50748516644).

Almost surely, 2^{1157627450100} is an apocalyptic number.

1157627450100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157627450100 is an abundant number, since it is smaller than the sum of its proper divisors (2496265748268).

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

1157627450100 is a wasteful number, since it uses less digits than its factorization.

1157627450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350796225 (or 350796218 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 1157627450100 in words is "one trillion, one hundred fifty-seven billion, six hundred twenty-seven million, four hundred fifty thousand, one hundred".