16626776400000 has 1152 divisors, whose sum is σ = 65781964684800. Its totient is φ = 4005135360000.

The previous prime is 16626776399983. The next prime is 16626776400071. The reversal of 16626776400000 is 467762661.

It is a happy number.

16626776400000 is a `hidden beast` number, since 16 + 626 + 7 + 7 + 6 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2199596221 + ... + 2199603779.

It is an arithmetic number, because the mean of its divisors is an integer number (57102399900).

Almost surely, 2^{16626776400000} is an apocalyptic number.

16626776400000 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 16626776400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32890982342400).

16626776400000 is an abundant number, since it is smaller than the sum of its proper divisors (49155188284800).

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

16626776400000 is an equidigital number, since it uses as much as digits as its factorization.

16626776400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16626776400000 in words is "sixteen trillion, six hundred twenty-six billion, seven hundred seventy-six million, four hundred thousand".