61532115540 has 288 divisors, whose sum is σ = 203319777024. Its totient is φ = 13862338560.

The previous prime is 61532115521. The next prime is 61532115551. The reversal of 61532115540 is 4551123516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95993620 + ... + 95994260.

It is an arithmetic number, because the mean of its divisors is an integer number (705971448).

Almost surely, 2^61532115540 is an apocalyptic number.

61532115540 is a gapful number since it is divisible by the number (60) 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 61532115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101659888512).

61532115540 is an abundant number, since it is smaller than the sum of its proper divisors (141787661484).

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

61532115540 is a wasteful number, since it uses less digits than its factorization.

61532115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 61532115540 in words is "sixty-one billion, five hundred thirty-two million, one hundred fifteen thousand, five hundred forty".