48063782592 has 504 divisors, whose sum is σ = 172465203456. Its totient is φ = 12999108096.

The previous prime is 48063782579. The next prime is 48063782623. The reversal of 48063782592 is 29528736084.

48063782592 is a `hidden beast` number, since 48 + 0 + 6 + 3 + 7 + 8 + 2 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×48063782592³ (a number of 33 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 39299293 + ... + 39300515.

It is an arithmetic number, because the mean of its divisors is an integer number (342192864).

Almost surely, 2^48063782592 is an apocalyptic number.

48063782592 is a gapful number since it is divisible by the number (42) 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 48063782592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86232601728).

48063782592 is an abundant number, since it is smaller than the sum of its proper divisors (124401420864).

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

48063782592 is a wasteful number, since it uses less digits than its factorization.

48063782592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48063782592 in words is "forty-eight billion, sixty-three million, seven hundred eighty-two thousand, five hundred ninety-two".