1157288688000 has 256 divisors, whose sum is σ = 4262681592000. Its totient is φ = 308610201600.

The previous prime is 1157288687959. The next prime is 1157288688001. The reversal of 1157288688000 is 8868827511.

1157288688000 is a `hidden beast` number, since 1 + 1 + 572 + 8 + 8 + 68 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1157288688000² (a number of 25 digits) contains 22 as substring.

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 (1157288688001) 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, 907455 + ... + 1771454.

Almost surely, 2^{1157288688000} is an apocalyptic number.

1157288688000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157288688000 is an abundant number, since it is smaller than the sum of its proper divisors (3105392904000).

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

1157288688000 is an equidigital number, since it uses as much as digits as its factorization.

1157288688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678947 (or 2678919 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1157288688000 in words is "one trillion, one hundred fifty-seven billion, two hundred eighty-eight million, six hundred eighty-eight thousand".