1354180068780 has 192 divisors, whose sum is σ = 4727920942080. Its totient is φ = 281352268800.

The previous prime is 1354180068763. The next prime is 1354180068797. The reversal of 1354180068780 is 878600814531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1354180068763) and next prime (1354180068797).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52012806 + ... + 52038834.

It is an arithmetic number, because the mean of its divisors is an integer number (24624588240).

Almost surely, 2^{1354180068780} is an apocalyptic number.

1354180068780 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 1354180068780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363960471040).

1354180068780 is an abundant number, since it is smaller than the sum of its proper divisors (3373740873300).

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

1354180068780 is a wasteful number, since it uses less digits than its factorization.

1354180068780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37320 (or 37318 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 1354180068780 in words is "one trillion, three hundred fifty-four billion, one hundred eighty million, sixty-eight thousand, seven hundred eighty".