47122665600 has 192 divisors, whose sum is σ = 155883817440. Its totient is φ = 12511518720.

The previous prime is 47122665593. The next prime is 47122665641. The reversal of 47122665600 is 656622174.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×47122665600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226267 + ... + 2247333.

Almost surely, 2^47122665600 is an apocalyptic number.

47122665600 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 47122665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77941908720).

47122665600 is an abundant number, since it is smaller than the sum of its proper divisors (108761151840).

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

47122665600 is a wasteful number, since it uses less digits than its factorization.

47122665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21327 (or 21310 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 47122665600 in words is "forty-seven billion, one hundred twenty-two million, six hundred sixty-five thousand, six hundred".