47192012896000 has 864 divisors, whose sum is σ = 143724844815552. Its totient is φ = 15375893299200.

The previous prime is 47192012895971. The next prime is 47192012896009. The reversal of 47192012896000 is 69821029174.

47192012896000 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47192012896009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2494678542 + ... + 2494697458.

It is an arithmetic number, because the mean of its divisors is an integer number (166348200018).

Almost surely, 2^{47192012896000} is an apocalyptic number.

47192012896000 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 47192012896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71862422407776).

47192012896000 is an abundant number, since it is smaller than the sum of its proper divisors (96532831919552).

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

47192012896000 is a wasteful number, since it uses less digits than its factorization.

47192012896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19042 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 47192012896000 in words is "forty-seven trillion, one hundred ninety-two billion, twelve million, eight hundred ninety-six thousand".