10005078343680 has 1368 divisors, whose sum is σ = 42517075236480. Its totient is φ = 2164135034880.

The previous prime is 10005078343649. The next prime is 10005078343691. The reversal of 10005078343680 is 8634387050001.

10005078343680 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 507 + 8 + 34 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10982522425 + ... + 10982523335.

It is an arithmetic number, because the mean of its divisors is an integer number (31079733360).

Almost surely, 2^{10005078343680} is an apocalyptic number.

10005078343680 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 10005078343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21258537618240).

10005078343680 is an abundant number, since it is smaller than the sum of its proper divisors (32511996892800).

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

10005078343680 is an frugal number, since it uses more digits than its factorization.

10005078343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10005078343680 in words is "ten trillion, five billion, seventy-eight million, three hundred forty-three thousand, six hundred eighty".