10077780095634 has 64 divisors (see below), whose sum is σ = 20447832637440. Its totient is φ = 3310986360000.

The previous prime is 10077780095627. The next prime is 10077780095641. The reversal of 10077780095634 is 43659008777001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10077780095627) and next prime (10077780095641).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67240039 + ... + 67389749.

It is an arithmetic number, because the mean of its divisors is an integer number (319497384960).

Almost surely, 2^{10077780095634} is an apocalyptic number.

10077780095634 is an abundant number, since it is smaller than the sum of its proper divisors (10370052541806).

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

10077780095634 is a wasteful number, since it uses less digits than its factorization.

10077780095634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150447.

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 10077780095634 in words is "ten trillion, seventy-seven billion, seven hundred eighty million, ninety-five thousand, six hundred thirty-four".