61120536062976 has 1760 divisors, whose sum is σ = 211275029504000. Its totient is φ = 17549057949696.

The previous prime is 61120536062969. The next prime is 61120536062981. The reversal of 61120536062976 is 67926063502116.

61120536062976 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 0 + 5 + 3 + 6 + 0 + 629 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 439716086715 + ... + 439716086853.

It is an arithmetic number, because the mean of its divisors is an integer number (120042630400).

Almost surely, 2^{61120536062976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61120536062976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105637514752000).

61120536062976 is an abundant number, since it is smaller than the sum of its proper divisors (150154493441024).

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

61120536062976 is a wasteful number, since it uses less digits than its factorization.

61120536062976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 61120536062976 in words is "sixty-one trillion, one hundred twenty billion, five hundred thirty-six million, sixty-two thousand, nine hundred seventy-six".