864498005280 has 1536 divisors, whose sum is σ = 3994228869120. Its totient is φ = 171562696704.

The previous prime is 864498005269. The next prime is 864498005311. The reversal of 864498005280 is 82500894468.

It is a super-2 number, since 2×864498005280² (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 255 ways as a sum of consecutive naturals, for example, 541325442 + ... + 541327038.

It is an arithmetic number, because the mean of its divisors is an integer number (2600409420).

Almost surely, 2^864498005280 is an apocalyptic number.

864498005280 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 864498005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997114434560).

864498005280 is an abundant number, since it is smaller than the sum of its proper divisors (3129730863840).

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

864498005280 is a wasteful number, since it uses less digits than its factorization.

864498005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 864498005280 in words is "eight hundred sixty-four billion, four hundred ninety-eight million, five thousand, two hundred eighty".