1157638739328 has 320 divisors, whose sum is σ = 3491178577920. Its totient is φ = 380754017280.

The previous prime is 1157638739297. The next prime is 1157638739329. The reversal of 1157638739328 is 8239378367511.

1157638739328 is a `hidden beast` number, since 1 + 1 + 576 + 3 + 8 + 7 + 39 + 3 + 28 = 666.

It is a super-2 number, since 2×1157638739328² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157638739329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251494275 + ... + 251498877.

It is an arithmetic number, because the mean of its divisors is an integer number (10909933056).

Almost surely, 2^{1157638739328} is an apocalyptic number.

1157638739328 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 1157638739328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745589288960).

1157638739328 is an abundant number, since it is smaller than the sum of its proper divisors (2333539838592).

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

1157638739328 is a wasteful number, since it uses less digits than its factorization.

1157638739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4926 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 1157638739328 in words is "one trillion, one hundred fifty-seven billion, six hundred thirty-eight million, seven hundred thirty-nine thousand, three hundred twenty-eight".