13534466400 has 972 divisors, whose sum is σ = 60381846252. Its totient is φ = 2843043840.

The previous prime is 13534466399. The next prime is 13534466443. The reversal of 13534466400 is 466443531.

13534466400 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 4 + 6 + 640 + 0 = 666.

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 161 ways as a sum of consecutive naturals, for example, 59623087 + ... + 59623313.

It is an arithmetic number, because the mean of its divisors is an integer number (62121241).

Almost surely, 2^13534466400 is an apocalyptic number.

13534466400 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 13534466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30190923126).

13534466400 is an abundant number, since it is smaller than the sum of its proper divisors (46847379852).

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

13534466400 is a wasteful number, since it uses less digits than its factorization.

13534466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13534466400 in words is "thirteen billion, five hundred thirty-four million, four hundred sixty-six thousand, four hundred".