47559655900080 has 240 divisors, whose sum is σ = 165982606433280. Its totient is φ = 12656095236864.

The previous prime is 47559655900069. The next prime is 47559655900091. The reversal of 47559655900080 is 8000955695574.

47559655900080 is a `hidden beast` number, since 4 + 75 + 5 + 9 + 6 + 559 + 0 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47559655900069) and next prime (47559655900091).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 47559655899990 and 47559655900017.

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 47 ways as a sum of consecutive naturals, for example, 6758019 + ... + 11865501.

It is an arithmetic number, because the mean of its divisors is an integer number (691594193472).

Almost surely, 2^{47559655900080} is an apocalyptic number.

47559655900080 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 47559655900080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82991303216640).

47559655900080 is an abundant number, since it is smaller than the sum of its proper divisors (118422950533200).

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

47559655900080 is a wasteful number, since it uses less digits than its factorization.

47559655900080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107990 (or 5107972 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 47559655900080 in words is "forty-seven trillion, five hundred fifty-nine billion, six hundred fifty-five million, nine hundred thousand, eighty".