127788476558400 has 672 divisors, whose sum is σ = 533094220738560. Its totient is φ = 29169849600000.

The previous prime is 127788476558377. The next prime is 127788476558429. The reversal of 127788476558400 is 4855674887721.

127788476558400 is a `hidden beast` number, since 1 + 2 + 7 + 78 + 8 + 47 + 65 + 58 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×127788476558400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226821055 + ... + 227383745.

Almost surely, 2^{127788476558400} is an apocalyptic number.

127788476558400 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 127788476558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266547110369280).

127788476558400 is an abundant number, since it is smaller than the sum of its proper divisors (405305744180160).

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

127788476558400 is a wasteful number, since it uses less digits than its factorization.

127788476558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563480 (or 563459 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 127788476558400 in words is "one hundred twenty-seven trillion, seven hundred eighty-eight billion, four hundred seventy-six million, five hundred fifty-eight thousand, four hundred".