10064553200 has 120 divisors (see below), whose sum is σ = 26087090736. Its totient is φ = 3709440000.

The previous prime is 10064553199. The next prime is 10064553209. The reversal of 10064553200 is 235546001.

It is a super-2 number, since 2×10064553200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10064553200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064553209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3591800 + ... + 3594600.

Almost surely, 2^10064553200 is an apocalyptic number.

10064553200 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 10064553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043545368).

10064553200 is an abundant number, since it is smaller than the sum of its proper divisors (16022537536).

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

10064553200 is a wasteful number, since it uses less digits than its factorization.

10064553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 10064553200 in words is "ten billion, sixty-four million, five hundred fifty-three thousand, two hundred".