10006898267520 has 5120 divisors, whose sum is σ = 50120099758080. Its totient is φ = 1839366144000.

The previous prime is 10006898267501. The next prime is 10006898267539. The reversal of 10006898267520 is 2576289860001.

10006898267520 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 8 + 98 + 26 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (10006898267501) and next prime (10006898267539).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 140942229085 + ... + 140942229155.

It is an arithmetic number, because the mean of its divisors is an integer number (9789081984).

Almost surely, 2^{10006898267520} is an apocalyptic number.

10006898267520 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 10006898267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25060049879040).

10006898267520 is an abundant number, since it is smaller than the sum of its proper divisors (40113201490560).

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

10006898267520 is a wasteful number, since it uses less digits than its factorization.

10006898267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10006898267520 in words is "ten trillion, six billion, eight hundred ninety-eight million, two hundred sixty-seven thousand, five hundred twenty".