127451779840 has 1152 divisors, whose sum is σ = 433592248320. Its totient is φ = 34681651200.

The previous prime is 127451779831. The next prime is 127451779907. The reversal of 127451779840 is 48977154721.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2089373410 + ... + 2089373470.

It is an arithmetic number, because the mean of its divisors is an integer number (376382160).

Almost surely, 2^127451779840 is an apocalyptic number.

127451779840 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 127451779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216796124160).

127451779840 is an abundant number, since it is smaller than the sum of its proper divisors (306140468480).

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

127451779840 is a wasteful number, since it uses less digits than its factorization.

127451779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 55.

The spelling of 127451779840 in words is "one hundred twenty-seven billion, four hundred fifty-one million, seven hundred seventy-nine thousand, eight hundred forty".