1078653240000 has 1120 divisors, whose sum is σ = 4604815987200. Its totient is φ = 242403840000.

The previous prime is 1078653239987. The next prime is 1078653240031. The reversal of 1078653240000 is 423568701.

1078653240000 is a `hidden beast` number, since 1 + 0 + 7 + 86 + 532 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 461158831 + ... + 461161169.

Almost surely, 2^{1078653240000} is an apocalyptic number.

1078653240000 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 1078653240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302407993600).

1078653240000 is an abundant number, since it is smaller than the sum of its proper divisors (3526162747200).

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

1078653240000 is an equidigital number, since it uses as much as digits as its factorization.

1078653240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1078653240000 in words is "one trillion, seventy-eight billion, six hundred fifty-three million, two hundred forty thousand".