61358084000 has 192 divisors, whose sum is σ = 156402005760. Its totient is φ = 23629132800.

The previous prime is 61358083993. The next prime is 61358084069. The reversal of 61358084000 is 48085316.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63451517 + ... + 63452483.

It is an arithmetic number, because the mean of its divisors is an integer number (814593780).

Almost surely, 2^61358084000 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 61358084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78201002880).

61358084000 is an abundant number, since it is smaller than the sum of its proper divisors (95043921760).

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

61358084000 is a wasteful number, since it uses less digits than its factorization.

61358084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 61358084000 in words is "sixty-one billion, three hundred fifty-eight million, eighty-four thousand".