48235622400 has 468 divisors, whose sum is σ = 197477408752. Its totient is φ = 11023810560.

The previous prime is 48235622381. The next prime is 48235622419. The reversal of 48235622400 is 422653284.

48235622400 is a `hidden beast` number, since 4 + 8 + 23 + 5 + 622 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48235622381) and next prime (48235622419).

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 35 ways as a sum of consecutive naturals, for example, 6447462 + ... + 6454938.

Almost surely, 2^48235622400 is an apocalyptic number.

48235622400 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 48235622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98738704376).

48235622400 is an abundant number, since it is smaller than the sum of its proper divisors (149241786352).

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

48235622400 is a wasteful number, since it uses less digits than its factorization.

48235622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7524 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 48235622400 in words is "forty-eight billion, two hundred thirty-five million, six hundred twenty-two thousand, four hundred".