48892999680000 has 2700 divisors, whose sum is σ = 213446976534792. Its totient is φ = 11147673600000.

The previous prime is 48892999679957. The next prime is 48892999680067. The reversal of 48892999680000 is 8699929884.

It is a tau number, because it is divible by the number of its divisors (2700).

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, 121927679800 + ... + 121927680200.

Almost surely, 2^{48892999680000} is an apocalyptic number.

48892999680000 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 48892999680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106723488267396).

48892999680000 is an abundant number, since it is smaller than the sum of its proper divisors (164553976854792).

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

48892999680000 is an frugal number, since it uses more digits than its factorization.

48892999680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 48892999680000 in words is "forty-eight trillion, eight hundred ninety-two billion, nine hundred ninety-nine million, six hundred eighty thousand".