11153712900 has 288 divisors, whose sum is σ = 36439667712. Its totient is φ = 2610316800.

The previous prime is 11153712893. The next prime is 11153712929. The reversal of 11153712900 is 921735111.

It is a super-2 number, since 2×11153712900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20390427 + ... + 20390973.

It is an arithmetic number, because the mean of its divisors is an integer number (126526624).

Almost surely, 2^11153712900 is an apocalyptic number.

11153712900 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 11153712900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18219833856).

11153712900 is an abundant number, since it is smaller than the sum of its proper divisors (25285954812).

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

11153712900 is a wasteful number, since it uses less digits than its factorization.

11153712900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 11153712900 in words is "eleven billion, one hundred fifty-three million, seven hundred twelve thousand, nine hundred".