11630816870400 has 3240 divisors, whose sum is σ = 54249317821440. Its totient is φ = 2434651914240.

The previous prime is 11630816870381. The next prime is 11630816870401. The reversal of 11630816870400 is 407861803611.

11630816870400 is a `hidden beast` number, since 1 + 1 + 630 + 8 + 1 + 6 + 8 + 7 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630816870401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 91581235137 + ... + 91581235263.

Almost surely, 2^{11630816870400} is an apocalyptic number.

11630816870400 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 11630816870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27124658910720).

11630816870400 is an abundant number, since it is smaller than the sum of its proper divisors (42618500951040).

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

11630816870400 is a wasteful number, since it uses less digits than its factorization.

11630816870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11630816870400 in words is "eleven trillion, six hundred thirty billion, eight hundred sixteen million, eight hundred seventy thousand, four hundred".