1157397012000 has 480 divisors, whose sum is σ = 4252536288000. Its totient is φ = 308312179200.

The previous prime is 1157397011993. The next prime is 1157397012017. The reversal of 1157397012000 is 2107937511.

1157397012000 is a `hidden beast` number, since 1 + 1 + 573 + 9 + 70 + 12 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578987001 + ... + 578988999.

It is an arithmetic number, because the mean of its divisors is an integer number (8859450600).

Almost surely, 2^{1157397012000} is an apocalyptic number.

1157397012000 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 1157397012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126268144000).

1157397012000 is an abundant number, since it is smaller than the sum of its proper divisors (3095139276000).

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

1157397012000 is a wasteful number, since it uses less digits than its factorization.

1157397012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 1157397012000 in words is "one trillion, one hundred fifty-seven billion, three hundred ninety-seven million, twelve thousand".