1079200447600 has 120 divisors (see below), whose sum is σ = 2831574660480. Its totient is φ = 392008032000.

The previous prime is 1079200447579. The next prime is 1079200447601. The reversal of 1079200447600 is 67440029701.

It is a super-2 number, since 2×1079200447600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079200447601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3910155 + ... + 4177045.

It is an arithmetic number, because the mean of its divisors is an integer number (23596455504).

Almost surely, 2^{1079200447600} is an apocalyptic number.

1079200447600 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 1079200447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415787330240).

1079200447600 is an abundant number, since it is smaller than the sum of its proper divisors (1752374212880).

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

1079200447600 is a wasteful number, since it uses less digits than its factorization.

1079200447600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267839 (or 267828 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 1079200447600 in words is "one trillion, seventy-nine billion, two hundred million, four hundred forty-seven thousand, six hundred".