10286242156512 has 576 divisors, whose sum is σ = 34989788381184. Its totient is φ = 2805776962560.

The previous prime is 10286242156501. The next prime is 10286242156543. The reversal of 10286242156512 is 21565124268201.

10286242156512 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 62 + 4 + 21 + 56 + 512 = 666.

It is a super-2 number, since 2×10286242156512² (a number of 27 digits) contains 22 as substring.

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, 653875687 + ... + 653891417.

It is an arithmetic number, because the mean of its divisors is an integer number (60746160384).

Almost surely, 2^{10286242156512} is an apocalyptic number.

10286242156512 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 10286242156512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494894190592).

10286242156512 is an abundant number, since it is smaller than the sum of its proper divisors (24703546224672).

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

10286242156512 is a wasteful number, since it uses less digits than its factorization.

10286242156512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10286242156512 in words is "ten trillion, two hundred eighty-six billion, two hundred forty-two million, one hundred fifty-six thousand, five hundred twelve".