13457478510 has 448 divisors, whose sum is σ = 43999248384. Its totient is φ = 2897337600.

The previous prime is 13457478497. The next prime is 13457478523. The reversal of 13457478510 is 1587475431.

13457478510 is a `hidden beast` number, since 1 + 3 + 4 + 574 + 78 + 5 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13457478497) and next prime (13457478523).

It is a super-2 number, since 2×13457478510² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 74350620 + ... + 74350800.

It is an arithmetic number, because the mean of its divisors is an integer number (98212608).

Almost surely, 2^13457478510 is an apocalyptic number.

13457478510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457478510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999624192).

13457478510 is an abundant number, since it is smaller than the sum of its proper divisors (30541769874).

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

13457478510 is a wasteful number, since it uses less digits than its factorization.

13457478510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 13457478510 in words is "thirteen billion, four hundred fifty-seven million, four hundred seventy-eight thousand, five hundred ten".