48517352400 has 240 divisors, whose sum is σ = 171135618048. Its totient is φ = 11651520000.

The previous prime is 48517352383. The next prime is 48517352417. The reversal of 48517352400 is 425371584.

48517352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48517352383) and next prime (48517352417).

It is a tau number, because it is divible by the number of its divisors (240).

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, 1395225 + ... + 1429575.

Almost surely, 2^48517352400 is an apocalyptic number.

48517352400 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 48517352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85567809024).

48517352400 is an abundant number, since it is smaller than the sum of its proper divisors (122618265648).

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

48517352400 is a wasteful number, since it uses less digits than its factorization.

48517352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34490 (or 34479 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 48517352400 in words is "forty-eight billion, five hundred seventeen million, three hundred fifty-two thousand, four hundred".