48865562064000 has 768 divisors, whose sum is σ = 198532561368960. Its totient is φ = 11846186496000.

The previous prime is 48865562063971. The next prime is 48865562064029. The reversal of 48865562064000 is 46026556884.

48865562064000 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 5 + 5 + 620 + 6 + 4 + 0 + 0 + 0 = 666.

48865562064000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48865562063971) and next prime (48865562064029).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42196714 + ... + 43339286.

Almost surely, 2^{48865562064000} is an apocalyptic number.

48865562064000 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 48865562064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99266280684480).

48865562064000 is an abundant number, since it is smaller than the sum of its proper divisors (149666999304960).

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

48865562064000 is a wasteful number, since it uses less digits than its factorization.

48865562064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142628 (or 1142594 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 48865562064000 in words is "forty-eight trillion, eight hundred sixty-five billion, five hundred sixty-two million, sixty-four thousand".