535322545451400 has 192 divisors, whose sum is σ = 1897203749760000. Its totient is φ = 122318636002560.

The previous prime is 535322545451399. The next prime is 535322545451411. The reversal of 535322545451400 is 4154545223535.

It is a self number, because there is not a number n which added to its sum of digits gives 535322545451400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8654242 + ... + 33845841.

It is an arithmetic number, because the mean of its divisors is an integer number (9881269530000).

Almost surely, 2^{535322545451400} is an apocalyptic number.

535322545451400 is a gapful number since it is divisible by the number (50) 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 535322545451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948601874880000).

535322545451400 is an abundant number, since it is smaller than the sum of its proper divisors (1361881204308600).

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

535322545451400 is a wasteful number, since it uses less digits than its factorization.

535322545451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42503108 (or 42503099 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 48.

The spelling of 535322545451400 in words is "five hundred thirty-five trillion, three hundred twenty-two billion, five hundred forty-five million, four hundred fifty-one thousand, four hundred".