11057640000 has 280 divisors, whose sum is σ = 39887456928. Its totient is φ = 2680320000.

The previous prime is 11057639963. The next prime is 11057640019. The reversal of 11057640000 is 4675011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1315812 + ... + 1324188.

Almost surely, 2^11057640000 is an apocalyptic number.

11057640000 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 11057640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943728464).

11057640000 is an abundant number, since it is smaller than the sum of its proper divisors (28829816928).

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

11057640000 is an equidigital number, since it uses as much as digits as its factorization.

11057640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 11057640000 in words is "eleven billion, fifty-seven million, six hundred forty thousand".