11460204806400 has 1296 divisors, whose sum is σ = 48090581255808. Its totient is φ = 2549071872000.

The previous prime is 11460204806389. The next prime is 11460204806411. The reversal of 11460204806400 is 460840206411.

It is a happy number.

11460204806400 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 2 + 0 + 4 + 8 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11460204806389) and next prime (11460204806411).

It is a super-2 number, since 2×11460204806400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9703813810 + ... + 9703814990.

Almost surely, 2^{11460204806400} is an apocalyptic number.

11460204806400 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 11460204806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24045290627904).

11460204806400 is an abundant number, since it is smaller than the sum of its proper divisors (36630376449408).

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

11460204806400 is a wasteful number, since it uses less digits than its factorization.

11460204806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11460204806400 in words is "eleven trillion, four hundred sixty billion, two hundred four million, eight hundred six thousand, four hundred".