48693394252800 has 2112 divisors, whose sum is σ = 201357325639680. Its totient is φ = 11430346752000.

The previous prime is 48693394252793. The next prime is 48693394252837. The reversal of 48693394252800 is 825249339684.

It is a happy number.

48693394252800 is a `hidden beast` number, since 4 + 8 + 69 + 3 + 3 + 9 + 42 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31074277617 + ... + 31074279183.

Almost surely, 2^{48693394252800} is an apocalyptic number.

48693394252800 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 48693394252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100678662819840).

48693394252800 is an abundant number, since it is smaller than the sum of its proper divisors (152663931386880).

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

48693394252800 is a wasteful number, since it uses less digits than its factorization.

48693394252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 48693394252800 in words is "forty-eight trillion, six hundred ninety-three billion, three hundred ninety-four million, two hundred fifty-two thousand, eight hundred".