813087381900 has 144 divisors (see below), whose sum is σ = 2455415843328. Its totient is φ = 207345600000.

The previous prime is 813087381859. The next prime is 813087381907. The reversal of 813087381900 is 9183780318.

It is a super-2 number, since 2×813087381900² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 813087381900.

It is not an unprimeable number, because it can be changed into a prime (813087381907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34150000 + ... + 34173800.

It is an arithmetic number, because the mean of its divisors is an integer number (17051498912).

Almost surely, 2^813087381900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813087381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227707921664).

813087381900 is an abundant number, since it is smaller than the sum of its proper divisors (1642328461428).

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

813087381900 is a wasteful number, since it uses less digits than its factorization.

813087381900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28792 (or 28785 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 813087381900 in words is "eight hundred thirteen billion, eighty-seven million, three hundred eighty-one thousand, nine hundred".