102779334074880 has 960 divisors, whose sum is σ = 377184067603200. Its totient is φ = 25792956334080.

The previous prime is 102779334074869. The next prime is 102779334074881. The reversal of 102779334074880 is 88470433977201.

102779334074880 is a `hidden beast` number, since 1 + 0 + 27 + 7 + 93 + 3 + 40 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (102779334074881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49389395440 + ... + 49389397520.

It is an arithmetic number, because the mean of its divisors is an integer number (392900070420).

Almost surely, 2^{102779334074880} is an apocalyptic number.

102779334074880 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 102779334074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188592033801600).

102779334074880 is an abundant number, since it is smaller than the sum of its proper divisors (274404733528320).

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

102779334074880 is a wasteful number, since it uses less digits than its factorization.

102779334074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 102779334074880 in words is "one hundred two trillion, seven hundred seventy-nine billion, three hundred thirty-four million, seventy-four thousand, eight hundred eighty".