48526934400 has 864 divisors, whose sum is σ = 203704071480. Its totient is φ = 10967040000.

The previous prime is 48526934389. The next prime is 48526934539. The reversal of 48526934400 is 443962584.

48526934400 is a `hidden beast` number, since 48 + 5 + 269 + 344 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 193334275 + ... + 193334525.

Almost surely, 2^48526934400 is an apocalyptic number.

48526934400 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 48526934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101852035740).

48526934400 is an abundant number, since it is smaller than the sum of its proper divisors (155177137080).

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

48526934400 is a wasteful number, since it uses less digits than its factorization.

48526934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48526934400 in words is "forty-eight billion, five hundred twenty-six million, nine hundred thirty-four thousand, four hundred".