48272984640000 has 1600 divisors, whose sum is σ = 181638932935680. Its totient is φ = 12653107200000.

The previous prime is 48272984639987. The next prime is 48272984640043. The reversal of 48272984640000 is 4648927284.

48272984640000 is a `hidden beast` number, since 4 + 82 + 72 + 98 + 4 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 212656319887 + ... + 212656320113.

Almost surely, 2^{48272984640000} is an apocalyptic number.

48272984640000 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 48272984640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90819466467840).

48272984640000 is an abundant number, since it is smaller than the sum of its proper divisors (133365948295680).

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

48272984640000 is a wasteful number, since it uses less digits than its factorization.

48272984640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48272984640000 in words is "forty-eight trillion, two hundred seventy-two billion, nine hundred eighty-four million, six hundred forty thousand".