61620756011152 has 20 divisors (see below), whose sum is σ = 128574077446780. Its totient is φ = 28440348928128.

The previous prime is 61620756011137. The next prime is 61620756011173. The reversal of 61620756011152 is 25111065702616.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23114710066176 + 38506045944976 = 4807776^2 + 6205324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61620756011099 and 61620756011108.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 148126817127 + ... + 148126817542.

It is an arithmetic number, because the mean of its divisors is an integer number (6428703872339).

Almost surely, 2^{61620756011152} is an apocalyptic number.

It is an amenable number.

61620756011152 is an abundant number, since it is smaller than the sum of its proper divisors (66953321435628).

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

61620756011152 is a wasteful number, since it uses less digits than its factorization.

61620756011152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296253634690 (or 296253634684 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 61620756011152 in words is "sixty-one trillion, six hundred twenty billion, seven hundred fifty-six million, eleven thousand, one hundred fifty-two".