8513799840 has 480 divisors, whose sum is σ = 36985576320. Its totient is φ = 1796069376.

The previous prime is 8513799823. The next prime is 8513799857. The reversal of 8513799840 is 489973158.

It is an interprime number because it is at equal distance from previous prime (8513799823) and next prime (8513799857).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1175751 + ... + 1182969.

It is an arithmetic number, because the mean of its divisors is an integer number (77053284).

Almost surely, 2^8513799840 is an apocalyptic number.

8513799840 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 8513799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492788160).

8513799840 is an abundant number, since it is smaller than the sum of its proper divisors (28471776480).

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

8513799840 is a wasteful number, since it uses less digits than its factorization.

8513799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7249 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8513799840 is about 92270.2543618473. The cubic root of 8513799840 is about 2041.9313888558.

The spelling of 8513799840 in words is "eight billion, five hundred thirteen million, seven hundred ninety-nine thousand, eight hundred forty".