48750951600 has 720 divisors, whose sum is σ = 193755036384. Its totient is φ = 11695104000.

The previous prime is 48750951551. The next prime is 48750951631. The reversal of 48750951600 is 615905784.

48750951600 is a `hidden beast` number, since 4 + 87 + 50 + 9 + 516 + 0 + 0 = 666.

48750951600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 51807130 + ... + 51808070.

Almost surely, 2^48750951600 is an apocalyptic number.

48750951600 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 48750951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96877518192).

48750951600 is an abundant number, since it is smaller than the sum of its proper divisors (145004084784).

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

48750951600 is a wasteful number, since it uses less digits than its factorization.

48750951600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 48750951600 in words is "forty-eight billion, seven hundred fifty million, nine hundred fifty-one thousand, six hundred".