535125201408 has 800 divisors, whose sum is σ = 1999937174400. Its totient is φ = 138900013056.

The previous prime is 535125201407. The next prime is 535125201409. The reversal of 535125201408 is 804102521535.

535125201408 is a `hidden beast` number, since 5 + 35 + 12 + 5 + 201 + 408 = 666.

535125201408 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (535125201407) and next prime (535125201409).

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

It is not an unprimeable number, because it can be changed into a prime (535125201407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143118003 + ... + 143121741.

It is an arithmetic number, because the mean of its divisors is an integer number (2499921468).

Almost surely, 2^535125201408 is an apocalyptic number.

535125201408 is a gapful number since it is divisible by the number (58) 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 535125201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999968587200).

535125201408 is an abundant number, since it is smaller than the sum of its proper divisors (1464811972992).

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

535125201408 is a wasteful number, since it uses less digits than its factorization.

535125201408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 535125201408 in words is "five hundred thirty-five billion, one hundred twenty-five million, two hundred one thousand, four hundred eight".