10900140269760 has 1344 divisors, whose sum is σ = 46253915965440. Its totient is φ = 2438090274816.

The previous prime is 10900140269729. The next prime is 10900140269771. The reversal of 10900140269760 is 6796204100901.

10900140269760 is a `hidden beast` number, since 10 + 90 + 0 + 1 + 402 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1611728139 + ... + 1611734901.

Almost surely, 2^{10900140269760} is an apocalyptic number.

10900140269760 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 10900140269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23126957982720).

10900140269760 is an abundant number, since it is smaller than the sum of its proper divisors (35353775695680).

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

10900140269760 is an frugal number, since it uses more digits than its factorization.

10900140269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10900140269760 in words is "ten trillion, nine hundred billion, one hundred forty million, two hundred sixty-nine thousand, seven hundred sixty".