295416469266072 has 512 divisors, whose sum is σ = 956758562242560. Its totient is φ = 73767354624000.

The previous prime is 295416469266031. The next prime is 295416469266131. The reversal of 295416469266072 is 270662964614592.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 295416469265988 and 295416469266006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5994992698 + ... + 5995041974.

It is an arithmetic number, because the mean of its divisors is an integer number (1868669066880).

Almost surely, 2^{295416469266072} is an apocalyptic number.

295416469266072 is a gapful number since it is divisible by the number (22) 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 295416469266072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478379281121280).

295416469266072 is an abundant number, since it is smaller than the sum of its proper divisors (661342092976488).

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

295416469266072 is a wasteful number, since it uses less digits than its factorization.

295416469266072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50023 (or 50019 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 295416469266072 in words is "two hundred ninety-five trillion, four hundred sixteen billion, four hundred sixty-nine million, two hundred sixty-six thousand, seventy-two".