1157607758272 has 168 divisors, whose sum is σ = 2855812255344. Its totient is φ = 462568071168.

The previous prime is 1157607758239. The next prime is 1157607758287. The reversal of 1157607758272 is 2728577067511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602918 + ... + 5805850.

Almost surely, 2^{1157607758272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157607758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427906127672).

1157607758272 is an abundant number, since it is smaller than the sum of its proper divisors (1698204497072).

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

1157607758272 is a wasteful number, since it uses less digits than its factorization.

1157607758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203083 (or 203066 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 58.

The spelling of 1157607758272 in words is "one trillion, one hundred fifty-seven billion, six hundred seven million, seven hundred fifty-eight thousand, two hundred seventy-two".