23878826400 has 576 divisors, whose sum is σ = 93596259456. Its totient is φ = 5210112000.

The previous prime is 23878826383. The next prime is 23878826417. The reversal of 23878826400 is 462887832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23878826383) and next prime (23878826417).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23878826400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14070352 + ... + 14072048.

It is an arithmetic number, because the mean of its divisors is an integer number (162493506).

Almost surely, 2^23878826400 is an apocalyptic number.

23878826400 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 23878826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46798129728).

23878826400 is an abundant number, since it is smaller than the sum of its proper divisors (69717433056).

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

23878826400 is a wasteful number, since it uses less digits than its factorization.

23878826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 23878826400 in words is "twenty-three billion, eight hundred seventy-eight million, eight hundred twenty-six thousand, four hundred".