29152535040 has 640 divisors, whose sum is σ = 108233072640. Its totient is φ = 7524679680.

The previous prime is 29152535023. The next prime is 29152535059. The reversal of 29152535040 is 4053525192.

It is a happy number.

29152535040 is a `hidden beast` number, since 2 + 91 + 525 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29152534986 and 29152535004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229547457 + ... + 229547583.

It is an arithmetic number, because the mean of its divisors is an integer number (169114176).

Almost surely, 2^29152535040 is an apocalyptic number.

29152535040 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 29152535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54116536320).

29152535040 is an abundant number, since it is smaller than the sum of its proper divisors (79080537600).

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

29152535040 is an frugal number, since it uses more digits than its factorization.

29152535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 29152535040 in words is "twenty-nine billion, one hundred fifty-two million, five hundred thirty-five thousand, forty".