1078370506752 has 768 divisors, whose sum is σ = 3756591820800. Its totient is φ = 266897326080.

The previous prime is 1078370506751. The next prime is 1078370506777. The reversal of 1078370506752 is 2576050738701.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 1078370506695 and 1078370506704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078370506751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138722343 + ... + 1138723289.

It is an arithmetic number, because the mean of its divisors is an integer number (4891395600).

Almost surely, 2^{1078370506752} is an apocalyptic number.

1078370506752 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 1078370506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878295910400).

1078370506752 is an abundant number, since it is smaller than the sum of its proper divisors (2678221314048).

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

1078370506752 is a wasteful number, since it uses less digits than its factorization.

1078370506752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 1078370506752 in words is "one trillion, seventy-eight billion, three hundred seventy million, five hundred six thousand, seven hundred fifty-two".