61290022729572 has 288 divisors, whose sum is σ = 201216990965760. Its totient is φ = 15788483867520.

The previous prime is 61290022729517. The next prime is 61290022729669. The reversal of 61290022729572 is 27592722009216.

61290022729572 is a `hidden beast` number, since 6 + 1 + 29 + 0 + 0 + 2 + 27 + 29 + 572 = 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 95 ways as a sum of consecutive naturals, for example, 84204 + ... + 11071907.

It is an arithmetic number, because the mean of its divisors is an integer number (698670107520).

Almost surely, 2^{61290022729572} 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 61290022729572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100608495482880).

61290022729572 is an abundant number, since it is smaller than the sum of its proper divisors (139926968236188).

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

61290022729572 is a wasteful number, since it uses less digits than its factorization.

61290022729572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11156200 (or 11156179 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 61290022729572 in words is "sixty-one trillion, two hundred ninety billion, twenty-two million, seven hundred twenty-nine thousand, five hundred seventy-two".