47090758010688 has 1568 divisors, whose sum is σ = 174787044424704. Its totient is φ = 12276264075264.

The previous prime is 47090758010683. The next prime is 47090758010729. The reversal of 47090758010688 is 88601085709074.

47090758010688 is a `hidden beast` number, since 47 + 0 + 9 + 0 + 7 + 580 + 1 + 0 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47090758010683) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29487011106 + ... + 29487012702.

Almost surely, 2^{47090758010688} is an apocalyptic number.

47090758010688 is a gapful number since it is divisible by the number (48) 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 47090758010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393522212352).

47090758010688 is an abundant number, since it is smaller than the sum of its proper divisors (127696286414016).

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

47090758010688 is a wasteful number, since it uses less digits than its factorization.

47090758010688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 47090758010688 in words is "forty-seven trillion, ninety billion, seven hundred fifty-eight million, ten thousand, six hundred eighty-eight".