10072784508430 has 256 divisors, whose sum is σ = 23119665905664. Its totient is φ = 3080536842240.

The previous prime is 10072784508401. The next prime is 10072784508431. The reversal of 10072784508430 is 3480548727001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072784508431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427580212 + ... + 427603768.

It is an arithmetic number, because the mean of its divisors is an integer number (90311194944).

Almost surely, 2^{10072784508430} is an apocalyptic number.

10072784508430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10072784508430 is an abundant number, since it is smaller than the sum of its proper divisors (13046881397234).

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

10072784508430 is a wasteful number, since it uses less digits than its factorization.

10072784508430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23859.

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 10072784508430 in words is "ten trillion, seventy-two billion, seven hundred eighty-four million, five hundred eight thousand, four hundred thirty".