48855729162240 has 2304 divisors, whose sum is σ = 230578654924800. Its totient is φ = 9237705523200.

The previous prime is 48855729162239. The next prime is 48855729162263. The reversal of 48855729162240 is 4226192755884.

48855729162240 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 572 + 9 + 16 + 2 + 2 + 40 = 666.

48855729162240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6549899631 + ... + 6549907089.

It is an arithmetic number, because the mean of its divisors is an integer number (100077541200).

Almost surely, 2^{48855729162240} is an apocalyptic number.

48855729162240 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 48855729162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115289327462400).

48855729162240 is an abundant number, since it is smaller than the sum of its proper divisors (181722925762560).

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

48855729162240 is a wasteful number, since it uses less digits than its factorization.

48855729162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 48855729162240 in words is "forty-eight trillion, eight hundred fifty-five billion, seven hundred twenty-nine million, one hundred sixty-two thousand, two hundred forty".