21762150400 has 117 divisors (see below), whose sum is σ = 54080856343. Its totient is φ = 8685977600.

The previous prime is 21762150367. The next prime is 21762150407. The reversal of 21762150400 is 405126712.

The square root of 21762150400 is 147520.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2224820224 + 19537330176 = 47168^2 + 139776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21762150407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47206170 + ... + 47206630.

Almost surely, 2^21762150400 is an apocalyptic number.

21762150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21762150400 is the 147520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21762150400

21762150400 is an abundant number, since it is smaller than the sum of its proper divisors (32318705943).

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

21762150400 is an frugal number, since it uses more digits than its factorization.

21762150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 21762150400 in words is "twenty-one billion, seven hundred sixty-two million, one hundred fifty thousand, four hundred".