11677478400 has 600 divisors, whose sum is σ = 49424076240. Its totient is φ = 2667479040.

The previous prime is 11677478399. The next prime is 11677478429. The reversal of 11677478400 is 487477611.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7256796 + ... + 7258404.

Almost surely, 2^11677478400 is an apocalyptic number.

11677478400 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 11677478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24712038120).

11677478400 is an abundant number, since it is smaller than the sum of its proper divisors (37746597840).

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

11677478400 is an equidigital number, since it uses as much as digits as its factorization.

11677478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 11677478400 in words is "eleven billion, six hundred seventy-seven million, four hundred seventy-eight thousand, four hundred".