1157308183200 has 144 divisors (see below), whose sum is σ = 4056810410016. Its totient is φ = 284875852800.

The previous prime is 1157308183193. The next prime is 1157308183217. The reversal of 1157308183200 is 23818037511.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18515406 + ... + 18577805.

It is an arithmetic number, because the mean of its divisors is an integer number (28172294514).

Almost surely, 2^{1157308183200} is an apocalyptic number.

1157308183200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157308183200 is an abundant number, since it is smaller than the sum of its proper divisors (2899502226816).

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

1157308183200 is a wasteful number, since it uses less digits than its factorization.

1157308183200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37093247 (or 37093234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1157308183200 in words is "one trillion, one hundred fifty-seven billion, three hundred eight million, one hundred eighty-three thousand, two hundred".