61652505600 has 1188 divisors, whose sum is σ = 264825859584. Its totient is φ = 13655900160.

The previous prime is 61652505599. The next prime is 61652505631. The reversal of 61652505600 is 650525616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 485452737 + ... + 485452863.

Almost surely, 2^61652505600 is an apocalyptic number.

61652505600 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 61652505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132412929792).

61652505600 is an abundant number, since it is smaller than the sum of its proper divisors (203173353984).

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

61652505600 is a wasteful number, since it uses less digits than its factorization.

61652505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 61652505600 in words is "sixty-one billion, six hundred fifty-two million, five hundred five thousand, six hundred".