145768586880 has 768 divisors, whose sum is σ = 563323576320. Its totient is φ = 31933440000.

The previous prime is 145768586863. The next prime is 145768586893. The reversal of 145768586880 is 88685867541.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440388315 + ... + 440388645.

It is an arithmetic number, because the mean of its divisors is an integer number (733494240).

Almost surely, 2^145768586880 is an apocalyptic number.

145768586880 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 145768586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281661788160).

145768586880 is an abundant number, since it is smaller than the sum of its proper divisors (417554989440).

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

145768586880 is a wasteful number, since it uses less digits than its factorization.

145768586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 66.

The spelling of 145768586880 in words is "one hundred forty-five billion, seven hundred sixty-eight million, five hundred eighty-six thousand, eight hundred eighty".