10264401015 has 128 divisors (see below), whose sum is σ = 19894118400. Its totient is φ = 4457840640.

The previous prime is 10264400987. The next prime is 10264401019. The reversal of 10264401015 is 51010446201.

It is a happy number.

It is not a de Polignac number, because 10264401015 - 2¹¹ = 10264398967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264401019) 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 127 ways as a sum of consecutive naturals, for example, 25096131 + ... + 25096539.

It is an arithmetic number, because the mean of its divisors is an integer number (155422800).

Almost surely, 2^10264401015 is an apocalyptic number.

10264401015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10264401015 is a deficient number, since it is larger than the sum of its proper divisors (9629717385).

10264401015 is a wasteful number, since it uses less digits than its factorization.

10264401015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10264401015 its reverse (51010446201), we get a palindrome (61274847216).

The spelling of 10264401015 in words is "ten billion, two hundred sixty-four million, four hundred one thousand, fifteen".