10051095945696 has 384 divisors, whose sum is σ = 30015571009536. Its totient is φ = 2921780336640.

The previous prime is 10051095945557. The next prime is 10051095945727. The reversal of 10051095945696 is 69654959015001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065746101 + ... + 1065755531.

It is an arithmetic number, because the mean of its divisors is an integer number (78165549504).

Almost surely, 2^{10051095945696} is an apocalyptic number.

10051095945696 is a gapful number since it is divisible by the number (16) 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 10051095945696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007785504768).

10051095945696 is an abundant number, since it is smaller than the sum of its proper divisors (19964475063840).

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

10051095945696 is a wasteful number, since it uses less digits than its factorization.

10051095945696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 60.

The spelling of 10051095945696 in words is "ten trillion, fifty-one billion, ninety-five million, nine hundred forty-five thousand, six hundred ninety-six".