10501979136 has 264 divisors, whose sum is σ = 32408759040. Its totient is φ = 3012894720.

The previous prime is 10501979099. The next prime is 10501979141. The reversal of 10501979136 is 63197910501.

10501979136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×10501979136² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7061785 + ... + 7063271.

Almost surely, 2^10501979136 is an apocalyptic number.

10501979136 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 10501979136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204379520).

10501979136 is an abundant number, since it is smaller than the sum of its proper divisors (21906779904).

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

10501979136 is a wasteful number, since it uses less digits than its factorization.

10501979136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The spelling of 10501979136 in words is "ten billion, five hundred one million, nine hundred seventy-nine thousand, one hundred thirty-six".