127785117690 has 192 divisors, whose sum is σ = 355364755200. Its totient is φ = 31764096000.

The previous prime is 127785117631. The next prime is 127785117703. The reversal of 127785117690 is 96711587721.

It is a super-2 number, since 2×127785117690² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98220040 + ... + 98221340.

It is an arithmetic number, because the mean of its divisors is an integer number (1850858100).

Almost surely, 2^127785117690 is an apocalyptic number.

127785117690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127785117690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177682377600).

127785117690 is an abundant number, since it is smaller than the sum of its proper divisors (227579637510).

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

127785117690 is a wasteful number, since it uses less digits than its factorization.

127785117690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 127785117690 in words is "one hundred twenty-seven billion, seven hundred eighty-five million, one hundred seventeen thousand, six hundred ninety".