8010250503120 has 480 divisors, whose sum is σ = 29285565603840. Its totient is φ = 2032115765760.

The previous prime is 8010250503119. The next prime is 8010250503209. The reversal of 8010250503120 is 213050520108.

It is a happy number.

8010250503120 is a `hidden beast` number, since 8 + 0 + 10 + 25 + 0 + 503 + 120 = 666.

It is a super-2 number, since 2×8010250503120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35443117 + ... + 35668403.

It is an arithmetic number, because the mean of its divisors is an integer number (61011595008).

Almost surely, 2^{8010250503120} is an apocalyptic number.

8010250503120 is a gapful number since it is divisible by the number (80) 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 8010250503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642782801920).

8010250503120 is an abundant number, since it is smaller than the sum of its proper divisors (21275315100720).

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

8010250503120 is a wasteful number, since it uses less digits than its factorization.

8010250503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225405 (or 225387 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 8010250503120 in words is "eight trillion, ten billion, two hundred fifty million, five hundred three thousand, one hundred twenty".