16912778400 has 288 divisors, whose sum is σ = 69906775680. Its totient is φ = 3865743360.

The previous prime is 16912778359. The next prime is 16912778401. The reversal of 16912778400 is 487721961.

It is a happy number.

16912778400 is a `hidden beast` number, since 169 + 12 + 7 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16912778401) 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, 95272 + ... + 207128.

It is an arithmetic number, because the mean of its divisors is an integer number (242731860).

Almost surely, 2^16912778400 is an apocalyptic number.

16912778400 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 16912778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34953387840).

16912778400 is an abundant number, since it is smaller than the sum of its proper divisors (52993997280).

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

16912778400 is a wasteful number, since it uses less digits than its factorization.

16912778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111893 (or 111874 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16912778400 in words is "sixteen billion, nine hundred twelve million, seven hundred seventy-eight thousand, four hundred".