10251420606324 has 288 divisors, whose sum is σ = 26898861749760. Its totient is φ = 3290347008000.

The previous prime is 10251420606313. The next prime is 10251420606337. The reversal of 10251420606324 is 42360602415201.

10251420606324 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 4 + 20 + 606 + 3 + 24 = 666.

It is a super-3 number, since 3×10251420606324³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14257886437 + ... + 14257887155.

It is an arithmetic number, because the mean of its divisors is an integer number (93398825520).

Almost surely, 2^{10251420606324} 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 10251420606324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449430874880).

10251420606324 is an abundant number, since it is smaller than the sum of its proper divisors (16647441143436).

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

10251420606324 is a wasteful number, since it uses less digits than its factorization.

10251420606324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10251420606324 in words is "ten trillion, two hundred fifty-one billion, four hundred twenty million, six hundred six thousand, three hundred twenty-four".