11094157152000 has 1728 divisors, whose sum is σ = 45823052620800. Its totient is φ = 2554608844800.

The previous prime is 11094157151999. The next prime is 11094157152073. The reversal of 11094157152000 is 25175149011.

11094157152000 is a `hidden beast` number, since 110 + 9 + 4 + 15 + 7 + 1 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×11094157152000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5904287061 + ... + 5904288939.

Almost surely, 2^{11094157152000} is an apocalyptic number.

11094157152000 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 11094157152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22911526310400).

11094157152000 is an abundant number, since it is smaller than the sum of its proper divisors (34728895468800).

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

11094157152000 is a wasteful number, since it uses less digits than its factorization.

11094157152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 11094157152000 in words is "eleven trillion, ninety-four billion, one hundred fifty-seven million, one hundred fifty-two thousand".