13618542420 has 576 divisors, whose sum is σ = 52529541120. Its totient is φ = 2863745280.

The previous prime is 13618542407. The next prime is 13618542463. The reversal of 13618542420 is 2424581631.

It is a happy number.

13618542420 is a `hidden beast` number, since 1 + 36 + 185 + 424 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83549259 + ... + 83549421.

It is an arithmetic number, because the mean of its divisors is an integer number (91197120).

Almost surely, 2^13618542420 is an apocalyptic number.

13618542420 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 13618542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26264770560).

13618542420 is an abundant number, since it is smaller than the sum of its proper divisors (38910998700).

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

13618542420 is a wasteful number, since it uses less digits than its factorization.

13618542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13618542420 in words is "thirteen billion, six hundred eighteen million, five hundred forty-two thousand, four hundred twenty".