1035525254400 has 1944 divisors, whose sum is σ = 4749071984384. Its totient is φ = 217678233600.

The previous prime is 1035525254389. The next prime is 1035525254429. The reversal of 1035525254400 is 44525255301.

1035525254400 is a `hidden beast` number, since 1 + 0 + 3 + 552 + 52 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×1035525254400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3821126265 + ... + 3821126535.

Almost surely, 2^{1035525254400} is an apocalyptic number.

1035525254400 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 1035525254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374535992192).

1035525254400 is an abundant number, since it is smaller than the sum of its proper divisors (3713546729984).

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

1035525254400 is an frugal number, since it uses more digits than its factorization.

1035525254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Subtracting from 1035525254400 its reverse (44525255301), we obtain a palindrome (990999999099).

The spelling of 1035525254400 in words is "one trillion, thirty-five billion, five hundred twenty-five million, two hundred fifty-four thousand, four hundred".