11477077600 has 72 divisors (see below), whose sum is σ = 28040470920. Its totient is φ = 4587217920.

The previous prime is 11477077589. The next prime is 11477077631. The reversal of 11477077600 is 677077411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1162284 + ... + 1172116.

It is an arithmetic number, because the mean of its divisors is an integer number (389450985).

Almost surely, 2^11477077600 is an apocalyptic number.

11477077600 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 11477077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020235460).

11477077600 is an abundant number, since it is smaller than the sum of its proper divisors (16563393320).

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

11477077600 is a wasteful number, since it uses less digits than its factorization.

11477077600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 11477077600 in words is "eleven billion, four hundred seventy-seven million, seventy-seven thousand, six hundred".