29256497671680 has 1280 divisors, whose sum is σ = 107150741913600. Its totient is φ = 7659048960000.

The previous prime is 29256497671657. The next prime is 29256497671711. The reversal of 29256497671680 is 8617679465292.

29256497671680 is a `hidden beast` number, since 2 + 9 + 2 + 5 + 6 + 497 + 6 + 71 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×29256497671680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 29256497671599 and 29256497671608.

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, 116559751555 + ... + 116559751805.

It is an arithmetic number, because the mean of its divisors is an integer number (83711517120).

Almost surely, 2^{29256497671680} is an apocalyptic number.

29256497671680 is a gapful number since it is divisible by the number (20) 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 29256497671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53575370956800).

29256497671680 is an abundant number, since it is smaller than the sum of its proper divisors (77894244241920).

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

29256497671680 is an equidigital number, since it uses as much as digits as its factorization.

29256497671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 29256497671680 in words is "twenty-nine trillion, two hundred fifty-six billion, four hundred ninety-seven million, six hundred seventy-one thousand, six hundred eighty".