29700154656 has 480 divisors, whose sum is σ = 96818198400. Its totient is φ = 8898785280.

The previous prime is 29700154643. The next prime is 29700154663. The reversal of 29700154656 is 65645100792.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70883215 + ... + 70883633.

It is an arithmetic number, because the mean of its divisors is an integer number (201704580).

Almost surely, 2^29700154656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29700154656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48409099200).

29700154656 is an abundant number, since it is smaller than the sum of its proper divisors (67118043744).

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

29700154656 is a wasteful number, since it uses less digits than its factorization.

29700154656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 29700154656 in words is "twenty-nine billion, seven hundred million, one hundred fifty-four thousand, six hundred fifty-six".