10162460880 has 600 divisors, whose sum is σ = 41822359656. Its totient is φ = 2271836160.

The previous prime is 10162460863. The next prime is 10162460887. The reversal of 10162460880 is 8806426101.

10162460880 is a `hidden beast` number, since 10 + 16 + 24 + 608 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1054430784 + 9108030096 = 32472^2 + 95436^2 .

It is a super-2 number, since 2×10162460880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10162460887) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10192542 + ... + 10193538.

Almost surely, 2^10162460880 is an apocalyptic number.

10162460880 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 10162460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911179828).

10162460880 is an abundant number, since it is smaller than the sum of its proper divisors (31659898776).

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

10162460880 is a wasteful number, since it uses less digits than its factorization.

10162460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 10162460880 its reverse (8806426101), we get a palindrome (18968886981).

The spelling of 10162460880 in words is "ten billion, one hundred sixty-two million, four hundred sixty thousand, eight hundred eighty".