47869761094560 has 2304 divisors, whose sum is σ = 196778838896640. Its totient is φ = 10508752650240.

The previous prime is 47869761094517. The next prime is 47869761094567. The reversal of 47869761094560 is 6549016796874.

It is a happy number.

47869761094560 is a `hidden beast` number, since 4 + 7 + 8 + 69 + 7 + 6 + 109 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47869761094567) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28275109074 + ... + 28275110766.

It is an arithmetic number, because the mean of its divisors is an integer number (85407482160).

Almost surely, 2^{47869761094560} is an apocalyptic number.

47869761094560 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 47869761094560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98389419448320).

47869761094560 is an abundant number, since it is smaller than the sum of its proper divisors (148909077802080).

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

47869761094560 is a wasteful number, since it uses less digits than its factorization.

47869761094560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 47869761094560 in words is "forty-seven trillion, eight hundred sixty-nine billion, seven hundred sixty-one million, ninety-four thousand, five hundred sixty".