1157575070000 has 100 divisors (see below), whose sum is σ = 2803191610296. Its totient is φ = 462933120000.

The previous prime is 1157575069993. The next prime is 1157575070089. The reversal of 1157575070000 is 705757511.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 65461160 + ... + 65478840.

Almost surely, 2^{1157575070000} is an apocalyptic number.

1157575070000 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 1157575070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401595805148).

1157575070000 is an abundant number, since it is smaller than the sum of its proper divisors (1645616540296).

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

1157575070000 is an equidigital number, since it uses as much as digits as its factorization.

1157575070000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24256 (or 24235 counting only the distinct ones).

The product of its (nonzero) digits is 42875, while the sum is 38.

The spelling of 1157575070000 in words is "one trillion, one hundred fifty-seven billion, five hundred seventy-five million, seventy thousand".