128270967552000 has 6048 divisors, whose sum is σ = 611792146733040. Its totient is φ = 26737695129600.

The previous prime is 128270967551981. The next prime is 128270967552029. The reversal of 128270967552000 is 255769072821.

128270967552000 is a `hidden beast` number, since 1 + 2 + 8 + 27 + 0 + 9 + 67 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×128270967552000² (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 an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1545433343959 + ... + 1545433344041.

Almost surely, 2^{128270967552000} is an apocalyptic number.

128270967552000 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 128270967552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305896073366520).

128270967552000 is an abundant number, since it is smaller than the sum of its proper divisors (483521179181040).

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

128270967552000 is an frugal number, since it uses more digits than its factorization.

128270967552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 128270967552000 in words is "one hundred twenty-eight trillion, two hundred seventy billion, nine hundred sixty-seven million, five hundred fifty-two thousand".