11546400626250 has 160 divisors (see below), whose sum is σ = 33019885054464. Its totient is φ = 2635918200000.

The previous prime is 11546400626239. The next prime is 11546400626251. The reversal of 11546400626250 is 5262600464511.

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

It is not an unprimeable number, because it can be changed into a prime (11546400626251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21017565 + ... + 21559935.

Almost surely, 2^{11546400626250} is an apocalyptic number.

11546400626250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11546400626250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509942527232).

11546400626250 is an abundant number, since it is smaller than the sum of its proper divisors (21473484428214).

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

11546400626250 is an equidigital number, since it uses as much as digits as its factorization.

11546400626250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543214 (or 543199 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 11546400626250 in words is "eleven trillion, five hundred forty-six billion, four hundred million, six hundred twenty-six thousand, two hundred fifty".