10082814044160 has 3072 divisors, whose sum is σ = 42689624140800. Its totient is φ = 1993133260800.

The previous prime is 10082814044137. The next prime is 10082814044213. The reversal of 10082814044160 is 6144041828001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×10082814044160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113290045396 + ... + 113290045484.

It is an arithmetic number, because the mean of its divisors is an integer number (13896362025).

Almost surely, 2^{10082814044160} is an apocalyptic number.

10082814044160 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 10082814044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344812070400).

10082814044160 is an abundant number, since it is smaller than the sum of its proper divisors (32606810096640).

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

10082814044160 is a wasteful number, since it uses less digits than its factorization.

10082814044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10082814044160 in words is "ten trillion, eighty-two billion, eight hundred fourteen million, forty-four thousand, one hundred sixty".