8273106472500 has 360 divisors, whose sum is σ = 26542843727400. Its totient is φ = 2171727360000.

The previous prime is 8273106472481. The next prime is 8273106472517. The reversal of 8273106472500 is 52746013728.

8273106472500 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 10 + 64 + 72 + 500 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 8207228010276 + 65878462224 = 2864826^2 + 256668^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 458563480 + ... + 458581520.

It is an arithmetic number, because the mean of its divisors is an integer number (73730121465).

Almost surely, 2^{8273106472500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273106472500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271421863700).

8273106472500 is an abundant number, since it is smaller than the sum of its proper divisors (18269737254900).

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

8273106472500 is a wasteful number, since it uses less digits than its factorization.

8273106472500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18369 counting only the distinct ones).

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

The spelling of 8273106472500 in words is "eight trillion, two hundred seventy-three billion, one hundred six million, four hundred seventy-two thousand, five hundred".