11546552520400 has 30 divisors (see below), whose sum is σ = 27740592431222. Its totient is φ = 4618621008000.

The previous prime is 11546552520389. The next prime is 11546552520407. The reversal of 11546552520400 is 402525564511.

It can be written as a sum of positive squares in 3 ways, for example, as 1008192711744 + 10538359808656 = 1004088^2 + 3246284^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11546552520407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14433190251 + ... + 14433191050.

Almost surely, 2^{11546552520400} is an apocalyptic number.

11546552520400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11546552520400 is an abundant number, since it is smaller than the sum of its proper divisors (16194039910822).

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

11546552520400 is a wasteful number, since it uses less digits than its factorization.

11546552520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28866381319 (or 28866381308 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 11546552520400 in words is "eleven trillion, five hundred forty-six billion, five hundred fifty-two million, five hundred twenty thousand, four hundred".