20115326400 has 504 divisors, whose sum is σ = 72381398544. Its totient is φ = 4888166400.

The previous prime is 20115326383. The next prime is 20115326417. The reversal of 20115326400 is 462351102.

It is an interprime number because it is at equal distance from previous prime (20115326383) and next prime (20115326417).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111134310 + ... + 111134490.

It is an arithmetic number, because the mean of its divisors is an integer number (143613886).

Almost surely, 2^20115326400 is an apocalyptic number.

20115326400 is a gapful number since it is divisible by the number (20) 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 20115326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36190699272).

20115326400 is an abundant number, since it is smaller than the sum of its proper divisors (52266072144).

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

20115326400 is a wasteful number, since it uses less digits than its factorization.

20115326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20115326400 its reverse (462351102), we get a palindrome (20577677502).

The spelling of 20115326400 in words is "twenty billion, one hundred fifteen million, three hundred twenty-six thousand, four hundred".