1157065613000 has 128 divisors (see below), whose sum is σ = 2955465152640. Its totient is φ = 420495840000.

The previous prime is 1157065612979. The next prime is 1157065613017. The reversal of 1157065613000 is 3165607511.

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, 18591935 + ... + 18654065.

It is an arithmetic number, because the mean of its divisors is an integer number (23089571505).

Almost surely, 2^{1157065613000} is an apocalyptic number.

1157065613000 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 1157065613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477732576320).

1157065613000 is an abundant number, since it is smaller than the sum of its proper divisors (1798399539640).

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

1157065613000 is a wasteful number, since it uses less digits than its factorization.

1157065613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63856 (or 63842 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 1157065613000 in words is "one trillion, one hundred fifty-seven billion, sixty-five million, six hundred thirteen thousand".