10006011379984 has 45 divisors (see below), whose sum is σ = 19460249071333. Its totient is φ = 4984083260096.

The previous prime is 10006011379879. The next prime is 10006011379999. The reversal of 10006011379984 is 48997311060001.

The square root of 10006011379984 is 3163228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9467067459600 + 538943920384 = 3076860^2 + 734128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3707301867 + ... + 3707304565.

Almost surely, 2^{10006011379984} is an apocalyptic number.

10006011379984 is the 3163228-th square number.

It is an amenable number.

10006011379984 is a deficient number, since it is larger than the sum of its proper divisors (9454237691349).

10006011379984 is an frugal number, since it uses more digits than its factorization.

10006011379984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 10006011379984 by its sum of digits (49), we get a square (490294557619216 = 22142596²).

The spelling of 10006011379984 in words is "ten trillion, six billion, eleven million, three hundred seventy-nine thousand, nine hundred eighty-four".