20378133504 has 99 divisors (see below), whose sum is σ = 58881015427. Its totient is φ = 6788143104.

The previous prime is 20378133493. The next prime is 20378133541. The reversal of 20378133504 is 40533187302.

The square root of 20378133504 is 142752.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13703449 + ... + 13704935.

Almost surely, 2^20378133504 is an apocalyptic number.

20378133504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20378133504 is the 142752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20378133504

20378133504 is an abundant number, since it is smaller than the sum of its proper divisors (38502881923).

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

20378133504 is an frugal number, since it uses more digits than its factorization.

20378133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 20378133504 by its sum of digits (36), we get a square (733612806144 = 856512²).

20378133504 divided by its sum of digits (36) gives a square (566059264 = 23792²).

The spelling of 20378133504 in words is "twenty billion, three hundred seventy-eight million, one hundred thirty-three thousand, five hundred four".