47087773286400 has 2184 divisors, whose sum is σ = 218289562082784. Its totient is φ = 9784472371200.

The previous prime is 47087773286387. The next prime is 47087773286413. The reversal of 47087773286400 is 468237778074.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 4! ⋅ (2!)¹².

47087773286400 is a `hidden beast` number, since 4 + 7 + 0 + 87 + 7 + 73 + 2 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (47087773286387) and next prime (47087773286413).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4280706662395 + ... + 4280706662405.

Almost surely, 2^{47087773286400} is an apocalyptic number.

47087773286400 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 47087773286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109144781041392).

47087773286400 is an abundant number, since it is smaller than the sum of its proper divisors (171201788796384).

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

47087773286400 is an frugal number, since it uses more digits than its factorization.

47087773286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 47087773286400 in words is "forty-seven trillion, eighty-seven billion, seven hundred seventy-three million, two hundred eighty-six thousand, four hundred".