1025858662400 has 936 divisors, whose sum is σ = 3191762593584. Its totient is φ = 323066265600.

The previous prime is 1025858662391. The next prime is 1025858662421. The reversal of 1025858662400 is 42668585201.

It is a super-2 number, since 2×1025858662400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3236147042 + ... + 3236147358.

Almost surely, 2^{1025858662400} is an apocalyptic number.

1025858662400 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 1025858662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595881296792).

1025858662400 is an abundant number, since it is smaller than the sum of its proper divisors (2165903931184).

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

1025858662400 is a wasteful number, since it uses less digits than its factorization.

1025858662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 1025858662400 in words is "one trillion, twenty-five billion, eight hundred fifty-eight million, six hundred sixty-two thousand, four hundred".