1540535210010 has 96 divisors (see below), whose sum is σ = 4154613083712. Its totient is φ = 410722980480.

The previous prime is 1540535210003. The next prime is 1540535210057. The reversal of 1540535210010 is 100125350451.

1540535210010 is a `hidden beast` number, since 1 + 5 + 405 + 35 + 210 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11932705 + ... + 12061115.

It is an arithmetic number, because the mean of its divisors is an integer number (43277219622).

Almost surely, 2^{1540535210010} is an apocalyptic number.

1540535210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540535210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077306541856).

1540535210010 is an abundant number, since it is smaller than the sum of its proper divisors (2614077873702).

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

1540535210010 is a wasteful number, since it uses less digits than its factorization.

1540535210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133370 (or 133358 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1540535210010 in words is "one trillion, five hundred forty billion, five hundred thirty-five million, two hundred ten thousand, ten".