127369157748000 has 1536 divisors, whose sum is σ = 509400191139840. Its totient is φ = 27207290880000.

The previous prime is 127369157747971. The next prime is 127369157748023. The reversal of 127369157748000 is 847751963721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9965501610 + ... + 9965514390.

It is an arithmetic number, because the mean of its divisors is an integer number (331640749440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅127369157748000 = 254738315496000, but 3⋅127369157748000 = 382107473244000 is not.

Almost surely, 2^{127369157748000} is an apocalyptic number.

127369157748000 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 127369157748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254700095569920).

127369157748000 is an abundant number, since it is smaller than the sum of its proper divisors (382031033391840).

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

127369157748000 is a wasteful number, since it uses less digits than its factorization.

127369157748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 127369157748000 in words is "one hundred twenty-seven trillion, three hundred sixty-nine billion, one hundred fifty-seven million, seven hundred forty-eight thousand".