160776607406400 has 1344 divisors, whose sum is σ = 641127536640000. Its totient is φ = 39042288230400.

The previous prime is 160776607406399. The next prime is 160776607406407. The reversal of 160776607406400 is 4604706677061.

160776607406400 is a `hidden beast` number, since 160 + 7 + 7 + 6 + 6 + 0 + 74 + 0 + 6 + 400 = 666.

It is a super-2 number, since 2×160776607406400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160776607406407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3791253997 + ... + 3791296403.

Almost surely, 2^{160776607406400} is an apocalyptic number.

160776607406400 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 160776607406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320563768320000).

160776607406400 is an abundant number, since it is smaller than the sum of its proper divisors (480350929233600).

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

160776607406400 is a wasteful number, since it uses less digits than its factorization.

160776607406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42637 (or 42616 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 160776607406400 in words is "one hundred sixty trillion, seven hundred seventy-six billion, six hundred seven million, four hundred six thousand, four hundred".