10135684416 has 336 divisors, whose sum is σ = 32195292480. Its totient is φ = 2789130240.

The previous prime is 10135684379. The next prime is 10135684423. The reversal of 10135684416 is 61448653101.

It is a super-2 number, since 2×10135684416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26055550 + ... + 26055938.

Almost surely, 2^10135684416 is an apocalyptic number.

10135684416 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 10135684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16097646240).

10135684416 is an abundant number, since it is smaller than the sum of its proper divisors (22059608064).

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

10135684416 is a wasteful number, since it uses less digits than its factorization.

10135684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10135684416 in words is "ten billion, one hundred thirty-five million, six hundred eighty-four thousand, four hundred sixteen".