48267878400 has 1344 divisors, whose sum is σ = 214525555200. Its totient is φ = 10404495360.

The previous prime is 48267878387. The next prime is 48267878401. The reversal of 48267878400 is 487876284.

It is a happy number.

48267878400 is a `hidden beast` number, since 482 + 6 + 7 + 87 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48267878401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1122508779 + ... + 1122508821.

Almost surely, 2^48267878400 is an apocalyptic number.

48267878400 is a gapful number since it is divisible by the number (40) 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 48267878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107262777600).

48267878400 is an abundant number, since it is smaller than the sum of its proper divisors (166257676800).

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

48267878400 is a wasteful number, since it uses less digits than its factorization.

48267878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 48267878400 in words is "forty-eight billion, two hundred sixty-seven million, eight hundred seventy-eight thousand, four hundred".