61654511563260 has 384 divisors, whose sum is σ = 216418458009600. Its totient is φ = 12740641459200.

The previous prime is 61654511563237. The next prime is 61654511563297. The reversal of 61654511563260 is 6236511545616.

It is a super-2 number, since 2×61654511563260² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4056477141 + ... + 4056492339.

It is an arithmetic number, because the mean of its divisors is an integer number (563589734400).

Almost surely, 2^{61654511563260} is an apocalyptic number.

61654511563260 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 61654511563260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108209229004800).

61654511563260 is an abundant number, since it is smaller than the sum of its proper divisors (154763946446340).

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

61654511563260 is a wasteful number, since it uses less digits than its factorization.

61654511563260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20017 (or 20015 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 61654511563260 in words is "sixty-one trillion, six hundred fifty-four billion, five hundred eleven million, five hundred sixty-three thousand, two hundred sixty".