47407955101920 has 1344 divisors, whose sum is σ = 208983208896000. Its totient is φ = 9911696191488.

The previous prime is 47407955101873. The next prime is 47407955101921. The reversal of 47407955101920 is 2910155970474.

47407955101920 is a `hidden beast` number, since 4 + 7 + 4 + 0 + 7 + 95 + 510 + 19 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47407955101921) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 449827791 + ... + 449933169.

It is an arithmetic number, because the mean of its divisors is an integer number (155493459000).

Almost surely, 2^{47407955101920} is an apocalyptic number.

47407955101920 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 47407955101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104491604448000).

47407955101920 is an abundant number, since it is smaller than the sum of its proper divisors (161575253794080).

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

47407955101920 is a wasteful number, since it uses less digits than its factorization.

47407955101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105467 (or 105444 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 47407955101920 in words is "forty-seven trillion, four hundred seven billion, nine hundred fifty-five million, one hundred one thousand, nine hundred twenty".