147801320110080 has 5760 divisors, whose sum is σ = 698616935976960. Its totient is φ = 29215822970880.

The previous prime is 147801320110027. The next prime is 147801320110109. The reversal of 147801320110080 is 80011023108741.

147801320110080 is a `hidden beast` number, since 1 + 478 + 0 + 1 + 3 + 2 + 0 + 1 + 100 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1307976284104 + ... + 1307976284216.

It is an arithmetic number, because the mean of its divisors is an integer number (121287662496).

Almost surely, 2^{147801320110080} is an apocalyptic number.

147801320110080 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 147801320110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349308467988480).

147801320110080 is an abundant number, since it is smaller than the sum of its proper divisors (550815615866880).

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

147801320110080 is a wasteful number, since it uses less digits than its factorization.

147801320110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

It can be divided in two parts, 147801320 and 110080, that added together give a triangular number (147911400 = T₁₇₁₉₉).

The spelling of 147801320110080 in words is "one hundred forty-seven trillion, eight hundred one billion, three hundred twenty million, one hundred ten thousand, eighty".