16006948070400 has 2376 divisors, whose sum is σ = 69011211499776. Its totient is φ = 3532573900800.

The previous prime is 16006948070381. The next prime is 16006948070401. The reversal of 16006948070400 is 407084960061.

16006948070400 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 69 + 480 + 70 + 40 + 0 = 666.

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 (16006948070401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51469286245 + ... + 51469286555.

Almost surely, 2^{16006948070400} is an apocalyptic number.

16006948070400 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 16006948070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34505605749888).

16006948070400 is an abundant number, since it is smaller than the sum of its proper divisors (53004263429376).

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

16006948070400 is a wasteful number, since it uses less digits than its factorization.

16006948070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16006948070400 in words is "sixteen trillion, six billion, nine hundred forty-eight million, seventy thousand, four hundred".