47238266880 has 840 divisors, whose sum is σ = 195976019232. Its totient is φ = 10701766656.

The previous prime is 47238266863. The next prime is 47238266927. The reversal of 47238266880 is 8866283274.

47238266880 is a `hidden beast` number, since 472 + 38 + 2 + 6 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×47238266880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 55 ways as a sum of consecutive naturals, for example, 418037704 + ... + 418037816.

Almost surely, 2^47238266880 is an apocalyptic number.

47238266880 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 47238266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97988009616).

47238266880 is an abundant number, since it is smaller than the sum of its proper divisors (148737752352).

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

47238266880 is an frugal number, since it uses more digits than its factorization.

47238266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47238266880 in words is "forty-seven billion, two hundred thirty-eight million, two hundred sixty-six thousand, eight hundred eighty".