815053374400 has 168 divisors, whose sum is σ = 2022345561600. Its totient is φ = 323300736000.

The previous prime is 815053374367. The next prime is 815053374403. The reversal of 815053374400 is 4473350518.

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 (815053374403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99018285 + ... + 99026515.

It is an arithmetic number, because the mean of its divisors is an integer number (12037771200).

Almost surely, 2^815053374400 is an apocalyptic number.

815053374400 is a gapful number since it is divisible by the number (80) 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 815053374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011172780800).

815053374400 is an abundant number, since it is smaller than the sum of its proper divisors (1207292187200).

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

815053374400 is a wasteful number, since it uses less digits than its factorization.

815053374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 815053374400 in words is "eight hundred fifteen billion, fifty-three million, three hundred seventy-four thousand, four hundred".