23826990741120 has 1536 divisors, whose sum is σ = 100732873812480. Its totient is φ = 5269282357248.

The previous prime is 23826990741089. The next prime is 23826990741131. The reversal of 23826990741120 is 2114709962832.

23826990741120 is a `hidden beast` number, since 2 + 3 + 82 + 69 + 90 + 7 + 411 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4211945332 + ... + 4211950988.

It is an arithmetic number, because the mean of its divisors is an integer number (65581298055).

Almost surely, 2^{23826990741120} is an apocalyptic number.

23826990741120 is a gapful number since it is divisible by the number (20) 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 23826990741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50366436906240).

23826990741120 is an abundant number, since it is smaller than the sum of its proper divisors (76905883071360).

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

23826990741120 is an equidigital number, since it uses as much as digits as its factorization.

23826990741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 23826990741120 in words is "twenty-three trillion, eight hundred twenty-six billion, nine hundred ninety million, seven hundred forty-one thousand, one hundred twenty".