11100292920 has 128 divisors (see below), whose sum is σ = 37027368000. Its totient is φ = 2957967360.

The previous prime is 11100292901. The next prime is 11100292937. The reversal of 11100292920 is 2929200111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037400 + ... + 2042840.

Almost surely, 2^11100292920 is an apocalyptic number.

11100292920 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 11100292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513684000).

11100292920 is an abundant number, since it is smaller than the sum of its proper divisors (25927075080).

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

11100292920 is a wasteful number, since it uses less digits than its factorization.

11100292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11100292920 in words is "eleven billion, one hundred million, two hundred ninety-two thousand, nine hundred twenty".