813057972480 has 864 divisors, whose sum is σ = 3155861761920. Its totient is φ = 198114508800.

The previous prime is 813057972479. The next prime is 813057972491. The reversal of 813057972480 is 84279750318.

It is a happy number.

813057972480 is a `hidden beast` number, since 8 + 1 + 305 + 7 + 97 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×813057972480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 624947830 + ... + 624949130.

It is an arithmetic number, because the mean of its divisors is an integer number (3652617780).

Almost surely, 2^813057972480 is an apocalyptic number.

813057972480 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 813057972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577930880960).

813057972480 is an abundant number, since it is smaller than the sum of its proper divisors (2342803789440).

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

813057972480 is a wasteful number, since it uses less digits than its factorization.

813057972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 813057972480 in words is "eight hundred thirteen billion, fifty-seven million, nine hundred seventy-two thousand, four hundred eighty".