10180542397248 has 1120 divisors, whose sum is σ = 33246359435520. Its totient is φ = 3072577536000.

The previous prime is 10180542397213. The next prime is 10180542397273. The reversal of 10180542397248 is 84279324508101.

10180542397248 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 5 + 4 + 2 + 397 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10180542397194 and 10180542397203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18818007858 + ... + 18818008398.

It is an arithmetic number, because the mean of its divisors is an integer number (29684249496).

Almost surely, 2^{10180542397248} is an apocalyptic number.

10180542397248 is a gapful number since it is divisible by the number (18) 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 10180542397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623179717760).

10180542397248 is an abundant number, since it is smaller than the sum of its proper divisors (23065817038272).

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

10180542397248 is a wasteful number, since it uses less digits than its factorization.

10180542397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10180542397248 in words is "ten trillion, one hundred eighty billion, five hundred forty-two million, three hundred ninety-seven thousand, two hundred forty-eight".