10025777541696 has 56 divisors (see below), whose sum is σ = 30316041618240. Its totient is φ = 2864507868672.

The previous prime is 10025777541691. The next prime is 10025777541709. The reversal of 10025777541696 is 69614577752001.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10025777541691) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3729826611 + ... + 3729829298.

It is an arithmetic number, because the mean of its divisors is an integer number (541357886040).

Almost surely, 2^{10025777541696} is an apocalyptic number.

10025777541696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10025777541696 is an abundant number, since it is smaller than the sum of its proper divisors (20290264076544).

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

10025777541696 is an equidigital number, since it uses as much as digits as its factorization.

10025777541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459655931 (or 7459655921 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 10025777541696 in words is "ten trillion, twenty-five billion, seven hundred seventy-seven million, five hundred forty-one thousand, six hundred ninety-six".