48752640000 has 675 divisors, whose sum is σ = 183973893103. Its totient is φ = 12435456000.

The previous prime is 48752639983. The next prime is 48752640029. The reversal of 48752640000 is 4625784.

The square root of 48752640000 is 220800.

It is a perfect power (a square), and thus also a powerful number.

48752640000 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 2 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3822206976 + 44930433024 = 61824^2 + 211968^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2119679989 + ... + 2119680011.

Almost surely, 2^48752640000 is an apocalyptic number.

48752640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48752640000 is the 220800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48752640000

48752640000 is an abundant number, since it is smaller than the sum of its proper divisors (135221253103).

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

48752640000 is an frugal number, since it uses more digits than its factorization.

48752640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 48752640000 by its sum of digits (36), we get a square (1755095040000 = 1324800²).

48752640000 divided by its sum of digits (36) gives a square (1354240000 = 36800²).

The spelling of 48752640000 in words is "forty-eight billion, seven hundred fifty-two million, six hundred forty thousand".