815150952000 has 3360 divisors, whose sum is σ = 4113454295808. Its totient is φ = 154275840000.

The previous prime is 815150951987. The next prime is 815150952037. The reversal of 815150952000 is 259051518.

It is a happy number.

815150952000 is a `hidden beast` number, since 81 + 5 + 1 + 50 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26295191985 + ... + 26295192015.

Almost surely, 2^815150952000 is an apocalyptic number.

815150952000 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 815150952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056727147904).

815150952000 is an abundant number, since it is smaller than the sum of its proper divisors (3298303343808).

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

815150952000 is a wasteful number, since it uses less digits than its factorization.

815150952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 815150952000 in words is "eight hundred fifteen billion, one hundred fifty million, nine hundred fifty-two thousand".