48655979735040 has 576 divisors, whose sum is σ = 175343364705600. Its totient is φ = 12940442468352.

The previous prime is 48655979735029. The next prime is 48655979735063. The reversal of 48655979735040 is 4053797955684.

48655979735040 is a `hidden beast` number, since 4 + 8 + 65 + 5 + 97 + 97 + 350 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48655979735040.

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, 943047484 + ... + 943099076.

It is an arithmetic number, because the mean of its divisors is an integer number (304415563725).

Almost surely, 2^{48655979735040} is an apocalyptic number.

48655979735040 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 48655979735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87671682352800).

48655979735040 is an abundant number, since it is smaller than the sum of its proper divisors (126687384970560).

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

48655979735040 is an equidigital number, since it uses as much as digits as its factorization.

48655979735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52014 (or 51982 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 48655979735040 in words is "forty-eight trillion, six hundred fifty-five billion, nine hundred seventy-nine million, seven hundred thirty-five thousand, forty".