47606819420160 has 5376 divisors, whose sum is σ = 240813386311680. Its totient is φ = 8702829527040.

The previous prime is 47606819420159. The next prime is 47606819420207. The reversal of 47606819420160 is 6102491860674.

47606819420160 is a `hidden beast` number, since 4 + 7 + 606 + 8 + 1 + 9 + 4 + 20 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×47606819420160² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47606819420097 and 47606819420106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 171865773942 + ... + 171865774218.

It is an arithmetic number, because the mean of its divisors is an integer number (44794156680).

Almost surely, 2^{47606819420160} is an apocalyptic number.

47606819420160 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 47606819420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120406693155840).

47606819420160 is an abundant number, since it is smaller than the sum of its proper divisors (193206566891520).

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

47606819420160 is a wasteful number, since it uses less digits than its factorization.

47606819420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 47606819420160 in words is "forty-seven trillion, six hundred six billion, eight hundred nineteen million, four hundred twenty thousand, one hundred sixty".