1079106537600 has 1536 divisors, whose sum is σ = 4961557440000. Its totient is φ = 227598336000.

The previous prime is 1079106537589. The next prime is 1079106537647. The reversal of 1079106537600 is 67356019701.

1079106537600 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 1 + 0 + 6 + 5 + 37 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385256200 + ... + 385259000.

It is an arithmetic number, because the mean of its divisors is an integer number (3230180625).

Almost surely, 2^{1079106537600} is an apocalyptic number.

1079106537600 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 1079106537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480778720000).

1079106537600 is an abundant number, since it is smaller than the sum of its proper divisors (3882450902400).

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

1079106537600 is a wasteful number, since it uses less digits than its factorization.

1079106537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1079106537600 in words is "one trillion, seventy-nine billion, one hundred six million, five hundred thirty-seven thousand, six hundred".