535155971040 has 480 divisors, whose sum is σ = 1953839543040. Its totient is φ = 137803161600.

The previous prime is 535155971039. The next prime is 535155971059. The reversal of 535155971040 is 40179551535.

535155971040 is a `hidden beast` number, since 5 + 3 + 5 + 1 + 5 + 597 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228600270 + ... + 228602610.

It is an arithmetic number, because the mean of its divisors is an integer number (4070499048).

Almost surely, 2^535155971040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535155971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976919771520).

535155971040 is an abundant number, since it is smaller than the sum of its proper divisors (1418683572000).

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

535155971040 is a wasteful number, since it uses less digits than its factorization.

535155971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The spelling of 535155971040 in words is "five hundred thirty-five billion, one hundred fifty-five million, nine hundred seventy-one thousand, forty".