1157226871680 has 768 divisors, whose sum is σ = 4438875168000. Its totient is φ = 275466977280.

The previous prime is 1157226871663. The next prime is 1157226871747. The reversal of 1157226871680 is 861786227511.

1157226871680 is a `hidden beast` number, since 1 + 1 + 572 + 2 + 6 + 8 + 7 + 1 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919162891 + ... + 919164149.

It is an arithmetic number, because the mean of its divisors is an integer number (5779785375).

Almost surely, 2^{1157226871680} is an apocalyptic number.

1157226871680 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 1157226871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219437584000).

1157226871680 is an abundant number, since it is smaller than the sum of its proper divisors (3281648296320).

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

1157226871680 is a wasteful number, since it uses less digits than its factorization.

1157226871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1157226871680 in words is "one trillion, one hundred fifty-seven billion, two hundred twenty-six million, eight hundred seventy-one thousand, six hundred eighty".