48152756400 has 480 divisors, whose sum is σ = 188150576640. Its totient is φ = 10281738240.

The previous prime is 48152756341. The next prime is 48152756429. The reversal of 48152756400 is 465725184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11648734 + ... + 11652866.

It is an arithmetic number, because the mean of its divisors is an integer number (391980368).

Almost surely, 2^48152756400 is an apocalyptic number.

48152756400 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 48152756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94075288320).

48152756400 is an abundant number, since it is smaller than the sum of its proper divisors (139997820240).

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

48152756400 is a wasteful number, since it uses less digits than its factorization.

48152756400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 48152756400 in words is "forty-eight billion, one hundred fifty-two million, seven hundred fifty-six thousand, four hundred".