29377960000 has 105 divisors (see below), whose sum is σ = 72932895409. Its totient is φ = 11737472000.

The previous prime is 29377959983. The next prime is 29377960043. The reversal of 29377960000 is 6977392.

The square root of 29377960000 is 171400.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8234473536 + 21143486464 = 90744^2 + 145408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 34279572 + ... + 34280428.

Almost surely, 2^29377960000 is an apocalyptic number.

29377960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29377960000 is the 171400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29377960000

29377960000 is an abundant number, since it is smaller than the sum of its proper divisors (43554935409).

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

29377960000 is an frugal number, since it uses more digits than its factorization.

29377960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The spelling of 29377960000 in words is "twenty-nine billion, three hundred seventy-seven million, nine hundred sixty thousand".