18540526400 has 168 divisors, whose sum is σ = 52697091456. Its totient is φ = 6345318400.

The previous prime is 18540526397. The next prime is 18540526493. The reversal of 18540526400 is 462504581.

It is a super-2 number, since 2×18540526400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268217 + ... + 330183.

Almost surely, 2^18540526400 is an apocalyptic number.

18540526400 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 18540526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26348545728).

18540526400 is an abundant number, since it is smaller than the sum of its proper divisors (34156565056).

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

18540526400 is a wasteful number, since it uses less digits than its factorization.

18540526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62017 (or 62002 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 18540526400 in words is "eighteen billion, five hundred forty million, five hundred twenty-six thousand, four hundred".