47078729011200 has 1248 divisors, whose sum is σ = 162668991768192. Its totient is φ = 12004098048000.

The previous prime is 47078729011133. The next prime is 47078729011231. The reversal of 47078729011200 is 211092787074.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47078729011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243931238304 + ... + 243931238496.

It is an arithmetic number, because the mean of its divisors is an integer number (130343743404).

Almost surely, 2^{47078729011200} is an apocalyptic number.

47078729011200 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 47078729011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81334495884096).

47078729011200 is an abundant number, since it is smaller than the sum of its proper divisors (115590262756992).

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

47078729011200 is a wasteful number, since it uses less digits than its factorization.

47078729011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 47078729011200 in words is "forty-seven trillion, seventy-eight billion, seven hundred twenty-nine million, eleven thousand, two hundred".