48286991289600 has 432 divisors, whose sum is σ = 202358266714240. Its totient is φ = 11037026304000.

The previous prime is 48286991289521. The next prime is 48286991289613. The reversal of 48286991289600 is 698219968284.

48286991289600 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 6 + 9 + 9 + 1 + 2 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18750301 + ... + 21169500.

Almost surely, 2^{48286991289600} is an apocalyptic number.

48286991289600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48286991289600 is an abundant number, since it is smaller than the sum of its proper divisors (154071275424640).

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

48286991289600 is a wasteful number, since it uses less digits than its factorization.

48286991289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39919843 (or 39919818 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 48286991289600 in words is "forty-eight trillion, two hundred eighty-six billion, nine hundred ninety-one million, two hundred eighty-nine thousand, six hundred".