24999200006400 has 729 divisors, whose sum is σ = 90829461581677. Its totient is φ = 6559895040000.

The previous prime is 24999200006387. The next prime is 24999200006401. The reversal of 24999200006400 is 460000299942.

It is a happy number.

The square root of 24999200006400 is 4999920.

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., 8999712002304 + 15999488004096 = 2999952^2 + 3999936^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24999200006401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99598406275 + ... + 99598406525.

Almost surely, 2^{24999200006400} is an apocalyptic number.

24999200006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24999200006400 is the 4999920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24999200006400

24999200006400 is an abundant number, since it is smaller than the sum of its proper divisors (65830261575277).

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

24999200006400 is an frugal number, since it uses more digits than its factorization.

24999200006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 24999200006400 in words is "twenty-four trillion, nine hundred ninety-nine billion, two hundred million, six thousand, four hundred".