10078683922944 has 2880 divisors, whose sum is σ = 40571814666240. Its totient is φ = 2347700060160.

The previous prime is 10078683922927. The next prime is 10078683922973. The reversal of 10078683922944 is 44922938687001.

10078683922944 is a `hidden beast` number, since 100 + 7 + 86 + 8 + 392 + 29 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 138064163292 + ... + 138064163364.

It is an arithmetic number, because the mean of its divisors is an integer number (14087435648).

Almost surely, 2^{10078683922944} is an apocalyptic number.

10078683922944 is a gapful number since it is divisible by the number (14) 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 10078683922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285907333120).

10078683922944 is an abundant number, since it is smaller than the sum of its proper divisors (30493130743296).

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

10078683922944 is a wasteful number, since it uses less digits than its factorization.

10078683922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10078683922944 in words is "ten trillion, seventy-eight billion, six hundred eighty-three million, nine hundred twenty-two thousand, nine hundred forty-four".