47254509862560 has 1728 divisors, whose sum is σ = 218700876925440. Its totient is φ = 9040995532800.

The previous prime is 47254509862523. The next prime is 47254509862601. The reversal of 47254509862560 is 6526890545274.

47254509862560 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 4 + 5 + 0 + 9 + 8 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6675305101 + ... + 6675312179.

It is an arithmetic number, because the mean of its divisors is an integer number (126563007480).

Almost surely, 2^{47254509862560} is an apocalyptic number.

47254509862560 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 47254509862560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109350438462720).

47254509862560 is an abundant number, since it is smaller than the sum of its proper divisors (171446367062880).

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

47254509862560 is a wasteful number, since it uses less digits than its factorization.

47254509862560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7541 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 47254509862560 in words is "forty-seven trillion, two hundred fifty-four billion, five hundred nine million, eight hundred sixty-two thousand, five hundred sixty".