127357581120 has 896 divisors, whose sum is σ = 517705482240. Its totient is φ = 25763512320.

The previous prime is 127357581101. The next prime is 127357581121. The reversal of 127357581120 is 21185753721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127357581121) by changing a digit.

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, 659883744 + ... + 659883936.

Almost surely, 2^127357581120 is an apocalyptic number.

127357581120 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 127357581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258852741120).

127357581120 is an abundant number, since it is smaller than the sum of its proper divisors (390347901120).

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

127357581120 is a wasteful number, since it uses less digits than its factorization.

127357581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 127357581120 in words is "one hundred twenty-seven billion, three hundred fifty-seven million, five hundred eighty-one thousand, one hundred twenty".