61611580800000 has 4620 divisors, whose sum is σ = 293741019887112. Its totient is φ = 12802406400000.

The previous prime is 61611580799953. The next prime is 61611580800041. The reversal of 61611580800000 is 808511616.

61611580800000 is a `hidden beast` number, since 61 + 6 + 11 + 580 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4620).

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 419 ways as a sum of consecutive naturals, for example, 5601052799995 + ... + 5601052800005.

Almost surely, 2^{61611580800000} is an apocalyptic number.

61611580800000 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 61611580800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146870509943556).

61611580800000 is an abundant number, since it is smaller than the sum of its proper divisors (232129439087112).

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

61611580800000 is an frugal number, since it uses more digits than its factorization.

61611580800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 61611580800000 in words is "sixty-one trillion, six hundred eleven billion, five hundred eighty million, eight hundred thousand".