29196275513664 has 224 divisors, whose sum is σ = 93554302599936. Its totient is φ = 7844619386880.

The previous prime is 29196275513663. The next prime is 29196275513677. The reversal of 29196275513664 is 46631557269192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 29196275513595 and 29196275513604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29196275513663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27187894 + ... + 28241354.

Almost surely, 2^{29196275513664} is an apocalyptic number.

29196275513664 is a gapful number since it is divisible by the number (24) 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 29196275513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46777151299968).

29196275513664 is an abundant number, since it is smaller than the sum of its proper divisors (64358027086272).

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

29196275513664 is a wasteful number, since it uses less digits than its factorization.

29196275513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054713 (or 1054703 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 29196275513664 in words is "twenty-nine trillion, one hundred ninety-six billion, two hundred seventy-five million, five hundred thirteen thousand, six hundred sixty-four".