10220542400 has 84 divisors (see below), whose sum is σ = 25169335488. Its totient is φ = 4084899840.

The previous prime is 10220542399. The next prime is 10220542411. The reversal of 10220542400 is 424502201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3225617 + ... + 3228783.

Almost surely, 2^10220542400 is an apocalyptic number.

10220542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584667744).

10220542400 is an abundant number, since it is smaller than the sum of its proper divisors (14948793088).

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

10220542400 is a wasteful number, since it uses less digits than its factorization.

10220542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 10220542400 in words is "ten billion, two hundred twenty million, five hundred forty-two thousand, four hundred".