29426457060 has 1152 divisors, whose sum is σ = 127628928000. Its totient is φ = 5588352000.

The previous prime is 29426457059. The next prime is 29426457077. The reversal of 29426457060 is 6075462492.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 29426456997 and 29426457015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291351010 + ... + 291351110.

It is an arithmetic number, because the mean of its divisors is an integer number (110789000).

Almost surely, 2^29426457060 is an apocalyptic number.

29426457060 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 29426457060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63814464000).

29426457060 is an abundant number, since it is smaller than the sum of its proper divisors (98202470940).

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

29426457060 is a wasteful number, since it uses less digits than its factorization.

29426457060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 29426457060 in words is "twenty-nine billion, four hundred twenty-six million, four hundred fifty-seven thousand, sixty".