10264135420 has 192 divisors, whose sum is σ = 27718225920. Its totient is φ = 3100032000.

The previous prime is 10264135397. The next prime is 10264135429. The reversal of 10264135420 is 2453146201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264135429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7888770 + ... + 7890070.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 2^10264135420 is an apocalyptic number.

10264135420 is a gapful number since it is divisible by the number (10) 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 10264135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859112960).

10264135420 is an abundant number, since it is smaller than the sum of its proper divisors (17454090500).

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

10264135420 is a wasteful number, since it uses less digits than its factorization.

10264135420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10264135420 in words is "ten billion, two hundred sixty-four million, one hundred thirty-five thousand, four hundred twenty".