815189199552 has 1344 divisors, whose sum is σ = 3262593245184. Its totient is φ = 195641671680.

The previous prime is 815189199511. The next prime is 815189199589. The reversal of 815189199552 is 255991981518.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 815189199552.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 745826718 + ... + 745827810.

It is an arithmetic number, because the mean of its divisors is an integer number (2427524736).

Almost surely, 2^815189199552 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 815189199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631296622592).

815189199552 is an abundant number, since it is smaller than the sum of its proper divisors (2447404045632).

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

815189199552 is a wasteful number, since it uses less digits than its factorization.

815189199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1166 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 63.

The spelling of 815189199552 in words is "eight hundred fifteen billion, one hundred eighty-nine million, one hundred ninety-nine thousand, five hundred fifty-two".