10025012400 has 180 divisors, whose sum is σ = 34774446168. Its totient is φ = 2467645440.

The previous prime is 10025012399. The next prime is 10025012423. The reversal of 10025012400 is 421052001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10025012400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178084 + ... + 227516.

Almost surely, 2^10025012400 is an apocalyptic number.

10025012400 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 10025012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387223084).

10025012400 is an abundant number, since it is smaller than the sum of its proper divisors (24749433768).

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

10025012400 is a wasteful number, since it uses less digits than its factorization.

10025012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49480 (or 49456 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10025012400 its reverse (421052001), we get a palindrome (10446064401).

The spelling of 10025012400 in words is "ten billion, twenty-five million, twelve thousand, four hundred".