10303082400780 has 432 divisors, whose sum is σ = 34858675627776. Its totient is φ = 2460711052800.

The previous prime is 10303082400647. The next prime is 10303082400781. The reversal of 10303082400780 is 8700428030301.

10303082400780 is a `hidden beast` number, since 1 + 0 + 30 + 308 + 240 + 0 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10303082400781) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197490979 + ... + 197543141.

It is an arithmetic number, because the mean of its divisors is an integer number (80691378768).

Almost surely, 2^{10303082400780} is an apocalyptic number.

10303082400780 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 10303082400780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17429337813888).

10303082400780 is an abundant number, since it is smaller than the sum of its proper divisors (24555593226996).

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

10303082400780 is a wasteful number, since it uses less digits than its factorization.

10303082400780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52398 (or 52380 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10303082400780 in words is "ten trillion, three hundred three billion, eighty-two million, four hundred thousand, seven hundred eighty".