10548708342480 has 1920 divisors, whose sum is σ = 49357469491200. Its totient is φ = 1949250355200.

The previous prime is 10548708342479. The next prime is 10548708342517. The reversal of 10548708342480 is 8424380784501.

10548708342480 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 87 + 0 + 83 + 4 + 2 + 480 = 666.

It is a super-2 number, since 2×10548708342480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11478463461 + ... + 11478464379.

It is an arithmetic number, because the mean of its divisors is an integer number (25707015360).

Almost surely, 2^{10548708342480} is an apocalyptic number.

10548708342480 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 10548708342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678734745600).

10548708342480 is an abundant number, since it is smaller than the sum of its proper divisors (38808761148720).

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

10548708342480 is a wasteful number, since it uses less digits than its factorization.

10548708342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 10548708342480 in words is "ten trillion, five hundred forty-eight billion, seven hundred eight million, three hundred forty-two thousand, four hundred eighty".