1079755218432 has 320 divisors, whose sum is σ = 3504870673920. Its totient is φ = 325494374400.

The previous prime is 1079755218391. The next prime is 1079755218439. The reversal of 1079755218432 is 2348125579701.

1079755218432 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 7 + 5 + 521 + 84 + 32 = 666.

1079755218432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1079755218432² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079755218439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29329957 + ... + 29366747.

It is an arithmetic number, because the mean of its divisors is an integer number (10952720856).

Almost surely, 2^{1079755218432} is an apocalyptic number.

1079755218432 is a gapful number since it is divisible by the number (12) 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 1079755218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752435336960).

1079755218432 is an abundant number, since it is smaller than the sum of its proper divisors (2425115455488).

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

1079755218432 is a wasteful number, since it uses less digits than its factorization.

1079755218432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37022 (or 37000 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1079755218432 in words is "one trillion, seventy-nine billion, seven hundred fifty-five million, two hundred eighteen thousand, four hundred thirty-two".