10425638780928 has 408 divisors, whose sum is σ = 35696123602048. Its totient is φ = 2978722086912.

The previous prime is 10425638780917. The next prime is 10425638780971. The reversal of 10425638780928 is 82908783652401.

10425638780928 is a `hidden beast` number, since 1 + 0 + 42 + 56 + 387 + 80 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111429975 + ... + 111523497.

It is a 1-persistent number, because it is pandigital, but 2⋅10425638780928 = 20851277561856 is not.

Almost surely, 2^{10425638780928} is an apocalyptic number.

10425638780928 is a gapful number since it is divisible by the number (18) 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 10425638780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848061801024).

10425638780928 is an abundant number, since it is smaller than the sum of its proper divisors (25270484821120).

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

10425638780928 is an frugal number, since it uses more digits than its factorization.

10425638780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93577 (or 93535 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 10425638780928 in words is "ten trillion, four hundred twenty-five billion, six hundred thirty-eight million, seven hundred eighty thousand, nine hundred twenty-eight".