5826640248000 has 1344 divisors, whose sum is σ = 25927894661760. Its totient is φ = 1227128832000.

The previous prime is 5826640247977. The next prime is 5826640248019. The reversal of 5826640248000 is 8420466285.

5826640248000 is a `hidden beast` number, since 582 + 6 + 6 + 40 + 24 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5826640248000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175015356 + ... + 175048644.

It is an arithmetic number, because the mean of its divisors is an integer number (19291588290).

Almost surely, 2^{5826640248000} is an apocalyptic number.

5826640248000 is a gapful number since it is divisible by the number (50) 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 5826640248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963947330880).

5826640248000 is an abundant number, since it is smaller than the sum of its proper divisors (20101254413760).

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

5826640248000 is a wasteful number, since it uses less digits than its factorization.

5826640248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363 (or 33340 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 5826640248000 in words is "five trillion, eight hundred twenty-six billion, six hundred forty million, two hundred forty-eight thousand".