61658005500 has 864 divisors, whose sum is σ = 254796167808. Its totient is φ = 12220416000.

The previous prime is 61658005471. The next prime is 61658005511. The reversal of 61658005500 is 550085616.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118345240 + ... + 118345760.

It is an arithmetic number, because the mean of its divisors is an integer number (294902972).

Almost surely, 2^61658005500 is an apocalyptic number.

61658005500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61658005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127398083904).

61658005500 is an abundant number, since it is smaller than the sum of its proper divisors (193138162308).

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

61658005500 is a wasteful number, since it uses less digits than its factorization.

61658005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 61658005500 in words is "sixty-one billion, six hundred fifty-eight million, five thousand, five hundred".