10020259430400 has 816 divisors, whose sum is σ = 34111385035200. Its totient is φ = 2594470625280.

The previous prime is 10020259430381. The next prime is 10020259430407. The reversal of 10020259430400 is 403495202001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10020259430407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31609651042 + ... + 31609651358.

Almost surely, 2^{10020259430400} is an apocalyptic number.

10020259430400 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 10020259430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055692517600).

10020259430400 is an abundant number, since it is smaller than the sum of its proper divisors (24091125604800).

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

10020259430400 is an equidigital number, since it uses as much as digits as its factorization.

10020259430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10020259430400 in words is "ten trillion, twenty billion, two hundred fifty-nine million, four hundred thirty thousand, four hundred".