1157628983760 has 120 divisors (see below), whose sum is σ = 3936915640320. Its totient is φ = 304793438976.

The previous prime is 1157628983713. The next prime is 1157628983767. The reversal of 1157628983760 is 673898267511.

1157628983760 is a `hidden beast` number, since 1 + 1 + 576 + 28 + 9 + 8 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157628983767) 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, 10119184 + ... + 10232943.

It is an arithmetic number, because the mean of its divisors is an integer number (32807630336).

Almost surely, 2^{1157628983760} is an apocalyptic number.

1157628983760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157628983760 is an abundant number, since it is smaller than the sum of its proper divisors (2779286656560).

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

1157628983760 is a wasteful number, since it uses less digits than its factorization.

1157628983760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352225 (or 20352216 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1157628983760 in words is "one trillion, one hundred fifty-seven billion, six hundred twenty-eight million, nine hundred eighty-three thousand, seven hundred sixty".