47236775201280 has 1280 divisors, whose sum is σ = 196987209154560. Its totient is φ = 10505296871424.

The previous prime is 47236775201257. The next prime is 47236775201303. The reversal of 47236775201280 is 8210257763274.

It is a happy number.

47236775201280 is a `hidden beast` number, since 4 + 7 + 2 + 36 + 7 + 7 + 520 + 1 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (47236775201257) and next prime (47236775201303).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×47236775201280² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3934097037 + ... + 3934109043.

It is an arithmetic number, because the mean of its divisors is an integer number (153896257152).

Almost surely, 2^{47236775201280} is an apocalyptic number.

47236775201280 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 47236775201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98493604577280).

47236775201280 is an abundant number, since it is smaller than the sum of its proper divisors (149750433953280).

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

47236775201280 is a wasteful number, since it uses less digits than its factorization.

47236775201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12266 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47236775201280 in words is "forty-seven trillion, two hundred thirty-six billion, seven hundred seventy-five million, two hundred one thousand, two hundred eighty".