61655053824 has 1200 divisors, whose sum is σ = 247799702304. Its totient is φ = 14810480640.

The previous prime is 61655053787. The next prime is 61655053829. The reversal of 61655053824 is 42835055616.

61655053824 is a `hidden beast` number, since 6 + 1 + 65 + 50 + 538 + 2 + 4 = 666.

61655053824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61655053824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61655053829) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1988872689 + ... + 1988872719.

Almost surely, 2^61655053824 is an apocalyptic number.

61655053824 is a gapful number since it is divisible by the number (64) 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 61655053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123899851152).

61655053824 is an abundant number, since it is smaller than the sum of its proper divisors (186144648480).

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

61655053824 is a wasteful number, since it uses less digits than its factorization.

61655053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 61655053824 in words is "sixty-one billion, six hundred fifty-five million, fifty-three thousand, eight hundred twenty-four".