1157682371328 has 288 divisors, whose sum is σ = 3962076518400. Its totient is φ = 326578397184.

The previous prime is 1157682371327. The next prime is 1157682371341. The reversal of 1157682371328 is 8231732867511.

1157682371328 is a `hidden beast` number, since 1 + 1 + 576 + 8 + 2 + 37 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1157682371327) 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, 3670900 + ... + 3973772.

Almost surely, 2^{1157682371328} is an apocalyptic number.

1157682371328 is a gapful number since it is divisible by the number (18) 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 1157682371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981038259200).

1157682371328 is an abundant number, since it is smaller than the sum of its proper divisors (2804394147072).

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

1157682371328 is an equidigital number, since it uses as much as digits as its factorization.

1157682371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302984 (or 302964 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 1157682371328 in words is "one trillion, one hundred fifty-seven billion, six hundred eighty-two million, three hundred seventy-one thousand, three hundred twenty-eight".