61120200624 has 80 divisors (see below), whose sum is σ = 180477853440. Its totient is φ = 17460230400.

The previous prime is 61120200611. The next prime is 61120200629. The reversal of 61120200624 is 42600202116.

It is a Cunningham number, because it is equal to 247225²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61120200594 and 61120200603.

It is not an unprimeable number, because it can be changed into a prime (61120200629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3452307 + ... + 3469965.

It is an arithmetic number, because the mean of its divisors is an integer number (2255973168).

Almost surely, 2^61120200624 is an apocalyptic number.

It is an amenable number.

61120200624 is an abundant number, since it is smaller than the sum of its proper divisors (119357652816).

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

61120200624 is a wasteful number, since it uses less digits than its factorization.

61120200624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27978 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 61120200624 in words is "sixty-one billion, one hundred twenty million, two hundred thousand, six hundred twenty-four".