535440012000 has 96 divisors (see below), whose sum is σ = 1754101518624. Its totient is φ = 142784000000.

The previous prime is 535440011989. The next prime is 535440012011. The reversal of 535440012000 is 210044535.

It is an interprime number because it is at equal distance from previous prime (535440011989) and next prime (535440012011).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 22298001 + ... + 22322000.

It is an arithmetic number, because the mean of its divisors is an integer number (18271890819).

Almost surely, 2^535440012000 is an apocalyptic number.

535440012000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535440012000 is an abundant number, since it is smaller than the sum of its proper divisors (1218661506624).

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

535440012000 is a wasteful number, since it uses less digits than its factorization.

535440012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44620029 (or 44620011 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 535440012000 its reverse (210044535), we get a palindrome (535650056535).

The spelling of 535440012000 in words is "five hundred thirty-five billion, four hundred forty million, twelve thousand".