61005051072 has 448 divisors, whose sum is σ = 218098298880. Its totient is φ = 16323379200.

The previous prime is 61005050969. The next prime is 61005051073. The reversal of 61005051072 is 27015050016.

It is a tau number, because it is divible by the number of its divisors (448).

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 (61005051073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49556697 + ... + 49557927.

It is an arithmetic number, because the mean of its divisors is an integer number (486826560).

Almost surely, 2^61005051072 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 61005051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109049149440).

61005051072 is an abundant number, since it is smaller than the sum of its proper divisors (157093247808).

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

61005051072 is a wasteful number, since it uses less digits than its factorization.

61005051072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 61005051072 in words is "sixty-one billion, five million, fifty-one thousand, seventy-two".