16057631678400 has 1176 divisors, whose sum is σ = 63928495449840. Its totient is φ = 3944544583680.

The previous prime is 16057631678329. The next prime is 16057631678401. The reversal of 16057631678400 is 487613675061.

16057631678400 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 76 + 3 + 167 + 8 + 400 = 666.

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 (16057631678401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11205604084 + ... + 11205605516.

Almost surely, 2^{16057631678400} is an apocalyptic number.

16057631678400 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 16057631678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964247724920).

16057631678400 is an abundant number, since it is smaller than the sum of its proper divisors (47870863771440).

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

16057631678400 is a wasteful number, since it uses less digits than its factorization.

16057631678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 16057631678400 in words is "sixteen trillion, fifty-seven billion, six hundred thirty-one million, six hundred seventy-eight thousand, four hundred".