29025936900 has 189 divisors, whose sum is σ = 94586122533. Its totient is φ = 7727983200.

The previous prime is 29025936887. The next prime is 29025936931. The reversal of 29025936900 is 963952092.

The square root of 29025936900 is 170370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10449337284 + 18576599616 = 102222^2 + 136296^2 .

It is a super-2 number, since 2×29025936900² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 45999585 + ... + 46000215.

Almost surely, 2^29025936900 is an apocalyptic number.

29025936900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29025936900 is the 170370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29025936900

29025936900 is an abundant number, since it is smaller than the sum of its proper divisors (65560185633).

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

29025936900 is an frugal number, since it uses more digits than its factorization.

29025936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 29025936900 in words is "twenty-nine billion, twenty-five million, nine hundred thirty-six thousand, nine hundred".