11133957375900 has 360 divisors, whose sum is σ = 38536971225984. Its totient is φ = 2773918224000.

The previous prime is 11133957375811. The next prime is 11133957375971. The reversal of 11133957375900 is 957375933111.

11133957375900 is a `hidden beast` number, since 1 + 1 + 13 + 3 + 9 + 5 + 7 + 37 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7315975 + ... + 8705825.

Almost surely, 2^{11133957375900} is an apocalyptic number.

11133957375900 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 11133957375900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268485612992).

11133957375900 is an abundant number, since it is smaller than the sum of its proper divisors (27403013850084).

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

11133957375900 is a wasteful number, since it uses less digits than its factorization.

11133957375900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389943 (or 1389927 counting only the distinct ones).

The product of its (nonzero) digits is 2679075, while the sum is 54.

The spelling of 11133957375900 in words is "eleven trillion, one hundred thirty-three billion, nine hundred fifty-seven million, three hundred seventy-five thousand, nine hundred".