1157991924600 has 960 divisors, whose sum is σ = 4874907628800. Its totient is φ = 248859371520.

The previous prime is 1157991924547. The next prime is 1157991924601. The reversal of 1157991924600 is 64291997511.

It is a happy number.

1157991924600 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 9 + 9 + 1 + 9 + 24 + 600 = 666.

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 (1157991924601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 295178239 + ... + 295182161.

It is an arithmetic number, because the mean of its divisors is an integer number (5078028780).

Almost surely, 2^{1157991924600} is an apocalyptic number.

1157991924600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157991924600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437453814400).

1157991924600 is an abundant number, since it is smaller than the sum of its proper divisors (3716915704200).

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

1157991924600 is a wasteful number, since it uses less digits than its factorization.

1157991924600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 1157991924600 in words is "one trillion, one hundred fifty-seven billion, nine hundred ninety-one million, nine hundred twenty-four thousand, six hundred".