23079872471040 has 3584 divisors, whose sum is σ = 110068595712000. Its totient is φ = 4441516277760.

The previous prime is 23079872471009. The next prime is 23079872471053. The reversal of 23079872471040 is 4017427897032.

23079872471040 is a `hidden beast` number, since 2 + 30 + 79 + 8 + 72 + 471 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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, 154898472886 + ... + 154898473034.

Almost surely, 2^{23079872471040} is an apocalyptic number.

23079872471040 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 23079872471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55034297856000).

23079872471040 is an abundant number, since it is smaller than the sum of its proper divisors (86988723240960).

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

23079872471040 is a wasteful number, since it uses less digits than its factorization.

23079872471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 23079872471040 in words is "twenty-three trillion, seventy-nine billion, eight hundred seventy-two million, four hundred seventy-one thousand, forty".