1157640148560 has 160 divisors (see below), whose sum is σ = 4196734248960. Its totient is φ = 258449877504.

The previous prime is 1157640148481. The next prime is 1157640148583. The reversal of 1157640148560 is 658410467511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7940220 + ... + 8084699.

It is an arithmetic number, because the mean of its divisors is an integer number (26229589056).

Almost surely, 2^{1157640148560} is an apocalyptic number.

1157640148560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157640148560 is an abundant number, since it is smaller than the sum of its proper divisors (3039094100400).

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

1157640148560 is a wasteful number, since it uses less digits than its factorization.

1157640148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16024985 (or 16024979 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1157640148560 in words is "one trillion, one hundred fifty-seven billion, six hundred forty million, one hundred forty-eight thousand, five hundred sixty".