10179916812780 has 768 divisors, whose sum is σ = 35109752832000. Its totient is φ = 2170556559360.

The previous prime is 10179916812763. The next prime is 10179916812781. The reversal of 10179916812780 is 8721861997101.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (10179916812781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6571927446 + ... + 6571928994.

It is an arithmetic number, because the mean of its divisors is an integer number (45715824000).

Almost surely, 2^{10179916812780} is an apocalyptic number.

10179916812780 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 10179916812780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554876416000).

10179916812780 is an abundant number, since it is smaller than the sum of its proper divisors (24929836019220).

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

10179916812780 is a wasteful number, since it uses less digits than its factorization.

10179916812780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 60.

The spelling of 10179916812780 in words is "ten trillion, one hundred seventy-nine billion, nine hundred sixteen million, eight hundred twelve thousand, seven hundred eighty".