35727994512 has 960 divisors, whose sum is σ = 134775373824. Its totient is φ = 8928092160.

The previous prime is 35727994493. The next prime is 35727994517. The reversal of 35727994512 is 21549972753.

35727994512 is a `hidden beast` number, since 3 + 57 + 2 + 79 + 9 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (35727994517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 674113078 + ... + 674113130.

Almost surely, 2^35727994512 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 35727994512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67387686912).

35727994512 is an abundant number, since it is smaller than the sum of its proper divisors (99047379312).

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

35727994512 is a wasteful number, since it uses less digits than its factorization.

35727994512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 35727994512 in words is "thirty-five billion, seven hundred twenty-seven million, nine hundred ninety-four thousand, five hundred twelve".