5800261923000 has 1152 divisors, whose sum is σ = 21334456166400. Its totient is φ = 1418376960000.

The previous prime is 5800261922999. The next prime is 5800261923011. The reversal of 5800261923000 is 3291620085.

5800261923000 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 2 + 619 + 2 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27489392895 + ... + 27489393105.

It is an arithmetic number, because the mean of its divisors is an integer number (18519493200).

Almost surely, 2^{5800261923000} is an apocalyptic number.

5800261923000 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 5800261923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667228083200).

5800261923000 is an abundant number, since it is smaller than the sum of its proper divisors (15534194243400).

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

5800261923000 is a wasteful number, since it uses less digits than its factorization.

5800261923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 5800261923000 in words is "five trillion, eight hundred billion, two hundred sixty-one million, nine hundred twenty-three thousand".