61621560000 has 2800 divisors, whose sum is σ = 322603733760. Its totient is φ = 11197440000.

The previous prime is 61621559971. The next prime is 61621560001. The reversal of 61621560000 is 6512616.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61621560001) by changing a digit.

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 399 ways as a sum of consecutive naturals, for example, 3243239991 + ... + 3243240009.

Almost surely, 2^61621560000 is an apocalyptic number.

61621560000 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 61621560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161301866880).

61621560000 is an abundant number, since it is smaller than the sum of its proper divisors (260982173760).

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

61621560000 is a wasteful number, since it uses less digits than its factorization.

61621560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 61621560000 in words is "sixty-one billion, six hundred twenty-one million, five hundred sixty thousand".