10180208480000 has 540 divisors, whose sum is σ = 28693461590640. Its totient is φ = 3595198464000.

The previous prime is 10180208479993. The next prime is 10180208480009. The reversal of 10180208480000 is 8480208101.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10180208480009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 621911816 + ... + 621928184.

Almost surely, 2^{10180208480000} is an apocalyptic number.

10180208480000 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 10180208480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346730795320).

10180208480000 is an abundant number, since it is smaller than the sum of its proper divisors (18513253110640).

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

10180208480000 is an equidigital number, since it uses as much as digits as its factorization.

10180208480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16454 (or 16412 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

Adding to 10180208480000 its reverse (8480208101), we get a palindrome (10188688688101).

The spelling of 10180208480000 in words is "ten trillion, one hundred eighty billion, two hundred eight million, four hundred eighty thousand".