47291015904000 has 1152 divisors, whose sum is σ = 173564052480000. Its totient is φ = 11317819392000.

The previous prime is 47291015903981. The next prime is 47291015904017. The reversal of 47291015904000 is 40951019274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29210015191 + ... + 29210016809.

It is an arithmetic number, because the mean of its divisors is an integer number (150663240000).

Almost surely, 2^{47291015904000} is an apocalyptic number.

47291015904000 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 47291015904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86782026240000).

47291015904000 is an abundant number, since it is smaller than the sum of its proper divisors (126273036576000).

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

47291015904000 is a wasteful number, since it uses less digits than its factorization.

47291015904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 47291015904000 in words is "forty-seven trillion, two hundred ninety-one billion, fifteen million, nine hundred four thousand".