48753714240 has 2016 divisors, whose sum is σ = 238296297600. Its totient is φ = 9266503680.

The previous prime is 48753714209. The next prime is 48753714311. The reversal of 48753714240 is 4241735784.

48753714240 is a `hidden beast` number, since 4 + 87 + 537 + 14 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1681162546 + ... + 1681162574.

Almost surely, 2^48753714240 is an apocalyptic number.

48753714240 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 48753714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119148148800).

48753714240 is an abundant number, since it is smaller than the sum of its proper divisors (189542583360).

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

48753714240 is a wasteful number, since it uses less digits than its factorization.

48753714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 48753714240 in words is "forty-eight billion, seven hundred fifty-three million, seven hundred fourteen thousand, two hundred forty".