47503878213120 has 640 divisors, whose sum is σ = 182755502899200. Its totient is φ = 10283062689792.

The previous prime is 47503878213119. The next prime is 47503878213149. The reversal of 47503878213120 is 2131287830574.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003017427 + ... + 4003029293.

It is an arithmetic number, because the mean of its divisors is an integer number (285555473280).

Almost surely, 2^{47503878213120} is an apocalyptic number.

47503878213120 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 47503878213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91377751449600).

47503878213120 is an abundant number, since it is smaller than the sum of its proper divisors (135251624686080).

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

47503878213120 is a wasteful number, since it uses less digits than its factorization.

47503878213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15838 (or 15822 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 47503878213120 in words is "forty-seven trillion, five hundred three billion, eight hundred seventy-eight million, two hundred thirteen thousand, one hundred twenty".