10025012254410 has 384 divisors, whose sum is σ = 27780192760320. Its totient is φ = 2505091276800.

The previous prime is 10025012254393. The next prime is 10025012254457. The reversal of 10025012254410 is 1445221052001.

It is a happy number.

10025012254410 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 0 + 1 + 225 + 4 + 410 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2369416995 + ... + 2369421225.

It is an arithmetic number, because the mean of its divisors is an integer number (72344251980).

Almost surely, 2^{10025012254410} is an apocalyptic number.

10025012254410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025012254410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890096380160).

10025012254410 is an abundant number, since it is smaller than the sum of its proper divisors (17755180505910).

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

10025012254410 is a wasteful number, since it uses less digits than its factorization.

10025012254410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10025012254410 in words is "ten trillion, twenty-five billion, twelve million, two hundred fifty-four thousand, four hundred ten".