47435348880 has 240 divisors, whose sum is σ = 169483152384. Its totient is φ = 11848273920.

The previous prime is 47435348867. The next prime is 47435348893. The reversal of 47435348880 is 8884353474.

47435348880 is a `hidden beast` number, since 47 + 43 + 5 + 3 + 488 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (47435348867) and next prime (47435348893).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47435348880² (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 47 ways as a sum of consecutive naturals, for example, 2573457 + ... + 2591823.

Almost surely, 2^47435348880 is an apocalyptic number.

47435348880 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 47435348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84741576192).

47435348880 is an abundant number, since it is smaller than the sum of its proper divisors (122047803504).

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

47435348880 is a wasteful number, since it uses less digits than its factorization.

47435348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18605 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 47435348880 in words is "forty-seven billion, four hundred thirty-five million, three hundred forty-eight thousand, eight hundred eighty".