47531000267280 has 240 divisors, whose sum is σ = 159935357790000. Its totient is φ = 12650293592064.

The previous prime is 47531000267227. The next prime is 47531000267423. The reversal of 47531000267280 is 8276200013574.

47531000267280 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 100 + 0 + 267 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1590746517504 + 45940253749776 = 1261248^2 + 6777924^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3944802696 + ... + 3944814744.

It is an arithmetic number, because the mean of its divisors is an integer number (666397324125).

Almost surely, 2^{47531000267280} is an apocalyptic number.

47531000267280 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 47531000267280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79967678895000).

47531000267280 is an abundant number, since it is smaller than the sum of its proper divisors (112404357522720).

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

47531000267280 is a wasteful number, since it uses less digits than its factorization.

47531000267280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47531000267280 in words is "forty-seven trillion, five hundred thirty-one billion, two hundred sixty-seven thousand, two hundred eighty".