48863072695680 has 192 divisors, whose sum is σ = 168765626062800. Its totient is φ = 13027424514048.

The previous prime is 48863072695643. The next prime is 48863072695751. The reversal of 48863072695680 is 8659627036884.

48863072695680 is a `hidden beast` number, since 4 + 8 + 8 + 6 + 30 + 7 + 26 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48863072695599 and 48863072695608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26698947 + ... + 28470333.

Almost surely, 2^{48863072695680} is an apocalyptic number.

48863072695680 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 48863072695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84382813031400).

48863072695680 is an abundant number, since it is smaller than the sum of its proper divisors (119902553367120).

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

48863072695680 is a wasteful number, since it uses less digits than its factorization.

48863072695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776201 (or 1776186 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 48863072695680 in words is "forty-eight trillion, eight hundred sixty-three billion, seventy-two million, six hundred ninety-five thousand, six hundred eighty".