10262080512 has 308 divisors, whose sum is σ = 31412688840. Its totient is φ = 3348283392.

The previous prime is 10262080501. The next prime is 10262080513. The reversal of 10262080512 is 21508026201.

It is a happy number.

10262080512 is a `hidden beast` number, since 10 + 2 + 62 + 0 + 80 + 512 = 666.

It is a super-3 number, since 3×10262080512³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10262080513) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 44043148 + ... + 44043380.

Almost surely, 2^10262080512 is an apocalyptic number.

10262080512 is a gapful number since it is divisible by the number (12) 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 10262080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706344420).

10262080512 is an abundant number, since it is smaller than the sum of its proper divisors (21150608328).

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

10262080512 is an frugal number, since it uses more digits than its factorization.

10262080512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10262080512 in words is "ten billion, two hundred sixty-two million, eighty thousand, five hundred twelve".