47209020149760 has 832 divisors, whose sum is σ = 192404466892800. Its totient is φ = 9621341208576.

The previous prime is 47209020149749. The next prime is 47209020149803. The reversal of 47209020149760 is 6794102090274.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138745921 + ... + 139085759.

Almost surely, 2^{47209020149760} is an apocalyptic number.

47209020149760 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 47209020149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96202233446400).

47209020149760 is an abundant number, since it is smaller than the sum of its proper divisors (145195446743040).

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

47209020149760 is a wasteful number, since it uses less digits than its factorization.

47209020149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339914 (or 339892 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 47209020149760 in words is "forty-seven trillion, two hundred nine billion, twenty million, one hundred forty-nine thousand, seven hundred sixty".