1079475284160 has 4032 divisors, whose sum is σ = 5382980628480. Its totient is φ = 203166351360.

The previous prime is 1079475284021. The next prime is 1079475284177. The reversal of 1079475284160 is 614825749701.

1079475284160 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 475 + 2 + 8 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×1079475284160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1079475284097 and 1079475284106.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29175007662 + ... + 29175007698.

It is an arithmetic number, because the mean of its divisors is an integer number (1335064640).

Almost surely, 2^{1079475284160} is an apocalyptic number.

1079475284160 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 1079475284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691490314240).

1079475284160 is an abundant number, since it is smaller than the sum of its proper divisors (4303505344320).

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

1079475284160 is a wasteful number, since it uses less digits than its factorization.

1079475284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1079475284160 in words is "one trillion, seventy-nine billion, four hundred seventy-five million, two hundred eighty-four thousand, one hundred sixty".