127659471652416 has 224 divisors, whose sum is σ = 379641702739968. Its totient is φ = 37526548111360.

The previous prime is 127659471652399. The next prime is 127659471652451. The reversal of 127659471652416 is 614256174956721.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5526301 + ... + 16907363.

Almost surely, 2^{127659471652416} is an apocalyptic number.

127659471652416 is a gapful number since it is divisible by the number (16) 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 127659471652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189820851369984).

127659471652416 is an abundant number, since it is smaller than the sum of its proper divisors (251982231087552).

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

127659471652416 is a wasteful number, since it uses less digits than its factorization.

127659471652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11381249 (or 11381239 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 66.

The spelling of 127659471652416 in words is "one hundred twenty-seven trillion, six hundred fifty-nine billion, four hundred seventy-one million, six hundred fifty-two thousand, four hundred sixteen".