48716778240 has 864 divisors, whose sum is σ = 197499456000. Its totient is φ = 11334795264.

The previous prime is 48716778211. The next prime is 48716778293. The reversal of 48716778240 is 4287761784.

48716778240 is a `hidden beast` number, since 487 + 16 + 77 + 82 + 4 + 0 = 666.

48716778240 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110971941 + ... + 110972379.

Almost surely, 2^48716778240 is an apocalyptic number.

48716778240 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 48716778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98749728000).

48716778240 is an abundant number, since it is smaller than the sum of its proper divisors (148782677760).

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

48716778240 is a wasteful number, since it uses less digits than its factorization.

48716778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 48716778240 in words is "forty-eight billion, seven hundred sixteen million, seven hundred seventy-eight thousand, two hundred forty".