1157506957200 has 1440 divisors, whose sum is σ = 4476113510400. Its totient is φ = 254615961600.

The previous prime is 1157506957183. The next prime is 1157506957207. The reversal of 1157506957200 is 27596057511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1157506957200.

It is not an unprimeable number, because it can be changed into a prime (1157506957207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10243424344 + ... + 10243424456.

It is an arithmetic number, because the mean of its divisors is an integer number (3108412160).

Almost surely, 2^{1157506957200} is an apocalyptic number.

1157506957200 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 1157506957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238056755200).

1157506957200 is an abundant number, since it is smaller than the sum of its proper divisors (3318606553200).

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

1157506957200 is a wasteful number, since it uses less digits than its factorization.

1157506957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 48.

The spelling of 1157506957200 in words is "one trillion, one hundred fifty-seven billion, five hundred six million, nine hundred fifty-seven thousand, two hundred".