127753749504000 has 2240 divisors, whose sum is σ = 501244911078912. Its totient is φ = 32310558720000.

The previous prime is 127753749503951. The next prime is 127753749504067. The reversal of 127753749504000 is 405947357721.

127753749504000 is a `hidden beast` number, since 1 + 2 + 77 + 53 + 74 + 9 + 50 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 318587903800 + ... + 318587904200.

Almost surely, 2^{127753749504000} is an apocalyptic number.

127753749504000 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 127753749504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250622455539456).

127753749504000 is an abundant number, since it is smaller than the sum of its proper divisors (373491161574912).

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

127753749504000 is an equidigital number, since it uses as much as digits as its factorization.

127753749504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 127753749504000 in words is "one hundred twenty-seven trillion, seven hundred fifty-three billion, seven hundred forty-nine million, five hundred four thousand".