815904000054 has 96 divisors (see below), whose sum is σ = 2077106207904. Its totient is φ = 228196362240.

The previous prime is 815904000049. The next prime is 815904000059. The reversal of 815904000054 is 450000409518.

It is an interprime number because it is at equal distance from previous prime (815904000049) and next prime (815904000059).

It is a junction number, because it is equal to n+sod(n) for n = 815903999982 and 815904000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815904000059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28600902 + ... + 28629414.

It is an arithmetic number, because the mean of its divisors is an integer number (21636522999).

Almost surely, 2^815904000054 is an apocalyptic number.

815904000054 is an abundant number, since it is smaller than the sum of its proper divisors (1261202207850).

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

815904000054 is a wasteful number, since it uses less digits than its factorization.

815904000054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39662 (or 39659 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 815904000054 in words is "eight hundred fifteen billion, nine hundred four million, fifty-four", and thus it is an aban number.