10493592480 has 288 divisors, whose sum is σ = 41924832768. Its totient is φ = 2339942400.

The previous prime is 10493592463. The next prime is 10493592491. The reversal of 10493592480 is 8429539401.

10493592480 is a `hidden beast` number, since 10 + 4 + 9 + 3 + 592 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10493592480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400585 + ... + 425975.

It is an arithmetic number, because the mean of its divisors is an integer number (145572336).

Almost surely, 2^10493592480 is an apocalyptic number.

10493592480 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 10493592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20962416384).

10493592480 is an abundant number, since it is smaller than the sum of its proper divisors (31431240288).

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

10493592480 is a wasteful number, since it uses less digits than its factorization.

10493592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25460 (or 25449 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 10 and 493592480, that added together give a triangular number (493592490 = T₃₁₄₁₉).

The spelling of 10493592480 in words is "ten billion, four hundred ninety-three million, five hundred ninety-two thousand, four hundred eighty".