11157251200 has 192 divisors, whose sum is σ = 28685664000. Its totient is φ = 4282880000.

The previous prime is 11157251191. The next prime is 11157251201. The reversal of 11157251200 is 215275111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11157251201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23292561 + ... + 23293039.

It is an arithmetic number, because the mean of its divisors is an integer number (149404500).

Almost surely, 2^11157251200 is an apocalyptic number.

11157251200 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 11157251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832000).

11157251200 is an abundant number, since it is smaller than the sum of its proper divisors (17528412800).

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

11157251200 is a wasteful number, since it uses less digits than its factorization.

11157251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 25.

The spelling of 11157251200 in words is "eleven billion, one hundred fifty-seven million, two hundred fifty-one thousand, two hundred".