48901622400 has 384 divisors, whose sum is σ = 188391960000. Its totient is φ = 12353679360.

The previous prime is 48901622347. The next prime is 48901622411. The reversal of 48901622400 is 422610984.

48901622400 is a `hidden beast` number, since 4 + 8 + 90 + 162 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1626706 + ... + 1656494.

Almost surely, 2^48901622400 is an apocalyptic number.

48901622400 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 48901622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94195980000).

48901622400 is an abundant number, since it is smaller than the sum of its proper divisors (139490337600).

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

48901622400 is a wasteful number, since it uses less digits than its factorization.

48901622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29841 (or 29818 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48901622400 in words is "forty-eight billion, nine hundred one million, six hundred twenty-two thousand, four hundred".