47945251200 has 768 divisors, whose sum is σ = 202323479040. Its totient is φ = 9687859200.

The previous prime is 47945251097. The next prime is 47945251219. The reversal of 47945251200 is 215254974.

It is a super-2 number, since 2×47945251200² (a number of 22 digits) contains 22 as substring.

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, 27349524 + ... + 27351276.

It is an arithmetic number, because the mean of its divisors is an integer number (263442030).

Almost surely, 2^47945251200 is an apocalyptic number.

47945251200 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 47945251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101161739520).

47945251200 is an abundant number, since it is smaller than the sum of its proper divisors (154378227840).

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

47945251200 is a wasteful number, since it uses less digits than its factorization.

47945251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 47945251200 in words is "forty-seven billion, nine hundred forty-five million, two hundred fifty-one thousand, two hundred".