10075437918876 has 288 divisors, whose sum is σ = 27057806899200. Its totient is φ = 2893527077760.

The previous prime is 10075437918859. The next prime is 10075437918881. The reversal of 10075437918876 is 67881973457001.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7638693745 + ... + 7638695063.

It is an arithmetic number, because the mean of its divisors is an integer number (93950718400).

Almost surely, 2^{10075437918876} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075437918876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528903449600).

10075437918876 is an abundant number, since it is smaller than the sum of its proper divisors (16982368980324).

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

10075437918876 is a wasteful number, since it uses less digits than its factorization.

10075437918876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 66.

The spelling of 10075437918876 in words is "ten trillion, seventy-five billion, four hundred thirty-seven million, nine hundred eighteen thousand, eight hundred seventy-six".