127915235735040 has 5120 divisors, whose sum is σ = 570203504640000. Its totient is φ = 26849840726016.

The previous prime is 127915235734963. The next prime is 127915235735051. The reversal of 127915235735040 is 40537532519721.

127915235735040 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 1 + 5 + 23 + 573 + 5 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 535210191241 + ... + 535210191479.

It is an arithmetic number, because the mean of its divisors is an integer number (111367872000).

Almost surely, 2^{127915235735040} is an apocalyptic number.

127915235735040 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 127915235735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285101752320000).

127915235735040 is an abundant number, since it is smaller than the sum of its proper divisors (442288268904960).

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

127915235735040 is a wasteful number, since it uses less digits than its factorization.

127915235735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 127915235735040 in words is "one hundred twenty-seven trillion, nine hundred fifteen billion, two hundred thirty-five million, seven hundred thirty-five thousand, forty".