10151303126832 has 360 divisors, whose sum is σ = 34201687291200. Its totient is φ = 2799191291904.

The previous prime is 10151303126821. The next prime is 10151303126869. The reversal of 10151303126832 is 23862130315101.

10151303126832 is a `hidden beast` number, since 1 + 0 + 151 + 303 + 126 + 83 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 566185644 + ... + 566203572.

It is an arithmetic number, because the mean of its divisors is an integer number (95004686920).

Almost surely, 2^{10151303126832} is an apocalyptic number.

10151303126832 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 10151303126832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100843645600).

10151303126832 is an abundant number, since it is smaller than the sum of its proper divisors (24050384164368).

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

10151303126832 is a wasteful number, since it uses less digits than its factorization.

10151303126832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20753 (or 20737 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10151303126832 in words is "ten trillion, one hundred fifty-one billion, three hundred three million, one hundred twenty-six thousand, eight hundred thirty-two".