128168616038400 has 7488 divisors, whose sum is σ = 637760171808000. Its totient is φ = 24970788864000.

The previous prime is 128168616038329. The next prime is 128168616038443. The reversal of 128168616038400 is 4830616861821.

128168616038400 is a `hidden beast` number, since 1 + 2 + 8 + 16 + 8 + 616 + 0 + 3 + 8 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1268996198350 + ... + 1268996198450.

Almost surely, 2^{128168616038400} is an apocalyptic number.

128168616038400 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 128168616038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318880085904000).

128168616038400 is an abundant number, since it is smaller than the sum of its proper divisors (509591555769600).

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

128168616038400 is a wasteful number, since it uses less digits than its factorization.

128168616038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 128168616038400 in words is "one hundred twenty-eight trillion, one hundred sixty-eight billion, six hundred sixteen million, thirty-eight thousand, four hundred".