48040918517760 has 768 divisors, whose sum is σ = 181639404011520. Its totient is φ = 10607595356160.

The previous prime is 48040918517737. The next prime is 48040918517789. The reversal of 48040918517760 is 6771581904084.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 48040918517694 and 48040918517703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3913076742 + ... + 3913089018.

It is an arithmetic number, because the mean of its divisors is an integer number (236509640640).

Almost surely, 2^{48040918517760} is an apocalyptic number.

48040918517760 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 48040918517760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90819702005760).

48040918517760 is an abundant number, since it is smaller than the sum of its proper divisors (133598485493760).

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

48040918517760 is a wasteful number, since it uses less digits than its factorization.

48040918517760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 48040918517760 in words is "forty-eight trillion, forty billion, nine hundred eighteen million, five hundred seventeen thousand, seven hundred sixty".