11277974400 has 1152 divisors, whose sum is σ = 49792646400. Its totient is φ = 2189721600.

The previous prime is 11277974387. The next prime is 11277974443. The reversal of 11277974400 is 447977211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154492764 + ... + 154492836.

Almost surely, 2^11277974400 is an apocalyptic number.

11277974400 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 11277974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896323200).

11277974400 is an abundant number, since it is smaller than the sum of its proper divisors (38514672000).

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

11277974400 is a wasteful number, since it uses less digits than its factorization.

11277974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 11277974400 in words is "eleven billion, two hundred seventy-seven million, nine hundred seventy-four thousand, four hundred".