127752552000 has 560 divisors, whose sum is σ = 500459916528. Its totient is φ = 32060620800.

The previous prime is 127752551987. The next prime is 127752552019. The reversal of 127752552000 is 255257721.

127752552000 is a `hidden beast` number, since 12 + 77 + 52 + 5 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7365758976 + 120386793024 = 85824^2 + 346968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11010202 + ... + 11021798.

Almost surely, 2^127752552000 is an apocalyptic number.

127752552000 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 127752552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250229958264).

127752552000 is an abundant number, since it is smaller than the sum of its proper divisors (372707364528).

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

127752552000 is a wasteful number, since it uses less digits than its factorization.

127752552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11653 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 127752552000 in words is "one hundred twenty-seven billion, seven hundred fifty-two million, five hundred fifty-two thousand".