47978641539840 has 576 divisors, whose sum is σ = 168257951447040. Its totient is φ = 11555155476480.

The previous prime is 47978641539811. The next prime is 47978641539923. The reversal of 47978641539840 is 4893514687974.

It is a super-3 number, since 3×47978641539840³ (a number of 42 digits) contains 333 as substring.

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, 4556803696 + ... + 4556814224.

It is an arithmetic number, because the mean of its divisors is an integer number (292114499040).

Almost surely, 2^{47978641539840} is an apocalyptic number.

47978641539840 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 47978641539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84128975723520).

47978641539840 is an abundant number, since it is smaller than the sum of its proper divisors (120279309907200).

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

47978641539840 is a wasteful number, since it uses less digits than its factorization.

47978641539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 75.

The spelling of 47978641539840 in words is "forty-seven trillion, nine hundred seventy-eight billion, six hundred forty-one million, five hundred thirty-nine thousand, eight hundred forty".