47806142115840 has 1664 divisors, whose sum is σ = 172982848389120. Its totient is φ = 11226945945600.

The previous prime is 47806142115793. The next prime is 47806142115857. The reversal of 47806142115840 is 4851124160874.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77231247051 + ... + 77231247669.

Almost surely, 2^{47806142115840} is an apocalyptic number.

47806142115840 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 47806142115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86491424194560).

47806142115840 is an abundant number, since it is smaller than the sum of its proper divisors (125176706273280).

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

47806142115840 is a wasteful number, since it uses less digits than its factorization.

47806142115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 47806142115840 in words is "forty-seven trillion, eight hundred six billion, one hundred forty-two million, one hundred fifteen thousand, eight hundred forty".