47168087040 has 528 divisors, whose sum is σ = 172899118080. Its totient is φ = 11870208000.

The previous prime is 47168087009. The next prime is 47168087093. The reversal of 47168087040 is 4078086174.

47168087040 is a `hidden beast` number, since 471 + 68 + 0 + 87 + 0 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62806665 + ... + 62807415.

Almost surely, 2^47168087040 is an apocalyptic number.

47168087040 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 47168087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86449559040).

47168087040 is an abundant number, since it is smaller than the sum of its proper divisors (125731031040).

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

47168087040 is a wasteful number, since it uses less digits than its factorization.

47168087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 47168087040 in words is "forty-seven billion, one hundred sixty-eight million, eighty-seven thousand, forty".