1100157566872 has 96 divisors (see below), whose sum is σ = 2556302112000. Its totient is φ = 434625789312.

The previous prime is 1100157566861. The next prime is 1100157566891. The reversal of 1100157566872 is 2786657510011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6800379 + ... + 6960277.

It is an arithmetic number, because the mean of its divisors is an integer number (26628147000).

Almost surely, 2^{1100157566872} 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 1100157566872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278151056000).

1100157566872 is an abundant number, since it is smaller than the sum of its proper divisors (1456144545128).

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

1100157566872 is a wasteful number, since it uses less digits than its factorization.

1100157566872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160665 (or 160648 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 49.

The spelling of 1100157566872 in words is "one trillion, one hundred billion, one hundred fifty-seven million, five hundred sixty-six thousand, eight hundred seventy-two".