10402137564 has 48 divisors (see below), whose sum is σ = 29872808448. Its totient is φ = 2743420608.

The previous prime is 10402137553. The next prime is 10402137569. The reversal of 10402137564 is 46573120401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402137569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4761792 + ... + 4763975.

It is an arithmetic number, because the mean of its divisors is an integer number (622350176).

Almost surely, 2^10402137564 is an apocalyptic number.

10402137564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10402137564 is an abundant number, since it is smaller than the sum of its proper divisors (19470670884).

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

10402137564 is a wasteful number, since it uses less digits than its factorization.

10402137564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525794 (or 9525792 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 10402137564 its reverse (46573120401), we get a palindrome (56975257965).

The spelling of 10402137564 in words is "ten billion, four hundred two million, one hundred thirty-seven thousand, five hundred sixty-four".