813902937120 has 1152 divisors, whose sum is σ = 3648411486720. Its totient is φ = 160331857920.

The previous prime is 813902937047. The next prime is 813902937121. The reversal of 813902937120 is 21739209318.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (813902937121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291824686 + ... + 291827474.

It is an arithmetic number, because the mean of its divisors is an integer number (3167023860).

Almost surely, 2^813902937120 is an apocalyptic number.

813902937120 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 813902937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824205743360).

813902937120 is an abundant number, since it is smaller than the sum of its proper divisors (2834508549600).

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

813902937120 is a wasteful number, since it uses less digits than its factorization.

813902937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 813902937120 in words is "eight hundred thirteen billion, nine hundred two million, nine hundred thirty-seven thousand, one hundred twenty".