10085349251520 has 224 divisors, whose sum is σ = 35612755434240. Its totient is φ = 2686865126400.

The previous prime is 10085349251477. The next prime is 10085349251533. The reversal of 10085349251520 is 2515294358001.

10085349251520 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 3 + 492 + 5 + 152 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8525319 + ... + 9635961.

Almost surely, 2^{10085349251520} is an apocalyptic number.

10085349251520 is a gapful number since it is divisible by the number (10) 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 10085349251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806377717120).

10085349251520 is an abundant number, since it is smaller than the sum of its proper divisors (25527406182720).

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

10085349251520 is a wasteful number, since it uses less digits than its factorization.

10085349251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111720 (or 1111704 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10085349251520 in words is "ten trillion, eighty-five billion, three hundred forty-nine million, two hundred fifty-one thousand, five hundred twenty".