16217135400 has 192 divisors, whose sum is σ = 52033812480. Its totient is φ = 4173868800.

The previous prime is 16217135393. The next prime is 16217135401. The reversal of 16217135400 is 453171261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16217135401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8685267 + ... + 8687133.

It is an arithmetic number, because the mean of its divisors is an integer number (271009440).

Almost surely, 2^16217135400 is an apocalyptic number.

16217135400 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 16217135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016906240).

16217135400 is an abundant number, since it is smaller than the sum of its proper divisors (35816677080).

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

16217135400 is a wasteful number, since it uses less digits than its factorization.

16217135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 16217135400 in words is "sixteen billion, two hundred seventeen million, one hundred thirty-five thousand, four hundred".