48088425759840 has 960 divisors, whose sum is σ = 177878345863680. Its totient is φ = 12220398305280.

The previous prime is 48088425759823. The next prime is 48088425759887. The reversal of 48088425759840 is 4895752488084.

48088425759840 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 8 + 4 + 2 + 575 + 9 + 8 + 40 = 666.

It is a super-3 number, since 3×48088425759840³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

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, 9189453864 + ... + 9189459096.

It is an arithmetic number, because the mean of its divisors is an integer number (185289943608).

Almost surely, 2^{48088425759840} is an apocalyptic number.

48088425759840 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 48088425759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88939172931840).

48088425759840 is an abundant number, since it is smaller than the sum of its proper divisors (129789920103840).

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

48088425759840 is a wasteful number, since it uses less digits than its factorization.

48088425759840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 48088425759840 in words is "forty-eight trillion, eighty-eight billion, four hundred twenty-five million, seven hundred fifty-nine thousand, eight hundred forty".