1002078535680 has 544 divisors, whose sum is σ = 3587612497920. Its totient is φ = 265373614080.

The previous prime is 1002078535663. The next prime is 1002078535687. The reversal of 1002078535680 is 865358702001.

1002078535680 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 7 + 85 + 3 + 568 + 0 = 666.

It is a super-2 number, since 2×1002078535680² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002078535687) 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, 1689845464 + ... + 1689846056.

Almost surely, 2^{1002078535680} is an apocalyptic number.

1002078535680 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 1002078535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793806248960).

1002078535680 is an abundant number, since it is smaller than the sum of its proper divisors (2585533962240).

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

1002078535680 is an frugal number, since it uses more digits than its factorization.

1002078535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1002078535680 in words is "one trillion, two billion, seventy-eight million, five hundred thirty-five thousand, six hundred eighty".