48523302678240 has 576 divisors, whose sum is σ = 178894212456960. Its totient is φ = 11905996861440.

The previous prime is 48523302678209. The next prime is 48523302678251. The reversal of 48523302678240 is 4287620332584.

48523302678240 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 330 + 2 + 67 + 8 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16714880629 + ... + 16714883531.

It is an arithmetic number, because the mean of its divisors is an integer number (310580229960).

Almost surely, 2^{48523302678240} is an apocalyptic number.

48523302678240 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 48523302678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89447106228480).

48523302678240 is an abundant number, since it is smaller than the sum of its proper divisors (130370909778720).

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

48523302678240 is a wasteful number, since it uses less digits than its factorization.

48523302678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 48523302678240 in words is "forty-eight trillion, five hundred twenty-three billion, three hundred two million, six hundred seventy-eight thousand, two hundred forty".