1017879210000 has 1125 divisors, whose sum is σ = 3952291792251. Its totient is φ = 252789984000.

The previous prime is 1017879209993. The next prime is 1017879210011. The reversal of 1017879210000 is 129787101.

The square root of 1017879210000 is 1008900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 79801730064 + 938077479936 = 282492^2 + 968544^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 17252189971 + ... + 17252190029.

Almost surely, 2^{1017879210000} is an apocalyptic number.

1017879210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1017879210000 is the 1008900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017879210000

1017879210000 is an abundant number, since it is smaller than the sum of its proper divisors (2934412582251).

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

1017879210000 is an frugal number, since it uses more digits than its factorization.

1017879210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

Multiplying 1017879210000 by its sum of digits (36), we get a square (36643651560000 = 6053400²).

1017879210000 divided by its sum of digits (36) gives a square (28274422500 = 168150²).

The spelling of 1017879210000 in words is "one trillion, seventeen billion, eight hundred seventy-nine million, two hundred ten thousand".