535140312000 has 896 divisors, whose sum is σ = 2081699143680. Its totient is φ = 118609920000.

The previous prime is 535140311987. The next prime is 535140312029. The reversal of 535140312000 is 213041535.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 809591670 + ... + 809592330.

Almost surely, 2^535140312000 is an apocalyptic number.

535140312000 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 535140312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040849571840).

535140312000 is an abundant number, since it is smaller than the sum of its proper divisors (1546558831680).

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

535140312000 is a wasteful number, since it uses less digits than its factorization.

535140312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 535140312000 its reverse (213041535), we get a palindrome (535353353535).

The spelling of 535140312000 in words is "five hundred thirty-five billion, one hundred forty million, three hundred twelve thousand".