10034183880000 has 1120 divisors, whose sum is σ = 42365957553920. Its totient is φ = 2280545280000.

The previous prime is 10034183879999. The next prime is 10034183880023. The reversal of 10034183880000 is 8838143001.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×10034183880000² (a number of 27 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1368356334 + ... + 1368363666.

It is an arithmetic number, because the mean of its divisors is an integer number (37826747816).

Almost surely, 2^{10034183880000} is an apocalyptic number.

10034183880000 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 10034183880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21182978776960).

10034183880000 is an abundant number, since it is smaller than the sum of its proper divisors (32331773673920).

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

10034183880000 is an equidigital number, since it uses as much as digits as its factorization.

10034183880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10034183880000 in words is "ten trillion, thirty-four billion, one hundred eighty-three million, eight hundred eighty thousand".