10035682272000 has 4032 divisors, whose sum is σ = 48313008027648. Its totient is φ = 2015539200000.

The previous prime is 10035682271999. The next prime is 10035682272059. The reversal of 10035682272000 is 27228653001.

10035682272000 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 568 + 22 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 447 ways as a sum of consecutive naturals, for example, 66461471925 + ... + 66461472075.

It is an arithmetic number, because the mean of its divisors is an integer number (11982392864).

Almost surely, 2^{10035682272000} is an apocalyptic number.

10035682272000 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 10035682272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24156504013824).

10035682272000 is an abundant number, since it is smaller than the sum of its proper divisors (38277325755648).

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

10035682272000 is an equidigital number, since it uses as much as digits as its factorization.

10035682272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10035682272000 in words is "ten trillion, thirty-five billion, six hundred eighty-two million, two hundred seventy-two thousand".