815261190480 has 480 divisors, whose sum is σ = 3158407848960. Its totient is φ = 186596352000.

The previous prime is 815261190451. The next prime is 815261190517. The reversal of 815261190480 is 84091162518.

It is a happy number.

815261190480 is a `hidden beast` number, since 8 + 1 + 52 + 6 + 119 + 0 + 480 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 10025826 + ... + 10106814.

It is an arithmetic number, because the mean of its divisors is an integer number (6580016352).

Almost surely, 2^815261190480 is an apocalyptic number.

815261190480 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 815261190480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579203924480).

815261190480 is an abundant number, since it is smaller than the sum of its proper divisors (2343146658480).

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

815261190480 is a wasteful number, since it uses less digits than its factorization.

815261190480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81091 (or 81082 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 815261190480 in words is "eight hundred fifteen billion, two hundred sixty-one million, one hundred ninety thousand, four hundred eighty".