48127979692800 has 1620 divisors, whose sum is σ = 208185272746360. Its totient is φ = 10999827578880.

The previous prime is 48127979692721. The next prime is 48127979692841. The reversal of 48127979692800 is 829697972184.

48127979692800 is a `hidden beast` number, since 4 + 8 + 1 + 279 + 79 + 6 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3734028756 + ... + 3734041644.

Almost surely, 2^{48127979692800} is an apocalyptic number.

48127979692800 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 48127979692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104092636373180).

48127979692800 is an abundant number, since it is smaller than the sum of its proper divisors (160057293053560).

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

48127979692800 is an frugal number, since it uses more digits than its factorization.

48127979692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 48127979692800 in words is "forty-eight trillion, one hundred twenty-seven billion, nine hundred seventy-nine million, six hundred ninety-two thousand, eight hundred".