48576950400 has 1152 divisors, whose sum is σ = 193787596800. Its totient is φ = 10644480000.

The previous prime is 48576950399. The next prime is 48576950423. The reversal of 48576950400 is 405967584.

It is a super-2 number, since 2×48576950400² (a number of 22 digits) contains 22 as substring.

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 48576950400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 684182365 + ... + 684182435.

It is an arithmetic number, because the mean of its divisors is an integer number (168218400).

Almost surely, 2^48576950400 is an apocalyptic number.

48576950400 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 48576950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96893798400).

48576950400 is an abundant number, since it is smaller than the sum of its proper divisors (145210646400).

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

48576950400 is a wasteful number, since it uses less digits than its factorization.

48576950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 48576950400 in words is "forty-eight billion, five hundred seventy-six million, nine hundred fifty thousand, four hundred".