48852012844400 has 240 divisors, whose sum is σ = 120738172554048. Its totient is φ = 18983642112000.

The previous prime is 48852012844391. The next prime is 48852012844463. The reversal of 48852012844400 is 444821025884.

It is a super-2 number, since 2×48852012844400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12678952874 + ... + 12678956726.

Almost surely, 2^{48852012844400} is an apocalyptic number.

48852012844400 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 48852012844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60369086277024).

48852012844400 is an abundant number, since it is smaller than the sum of its proper divisors (71886159709648).

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

48852012844400 is a wasteful number, since it uses less digits than its factorization.

48852012844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 50.

The spelling of 48852012844400 in words is "forty-eight trillion, eight hundred fifty-two billion, twelve million, eight hundred forty-four thousand, four hundred".