61992126000 has 960 divisors, whose sum is σ = 260726169600. Its totient is φ = 13430016000.

The previous prime is 61992125981. The next prime is 61992126011. The reversal of 61992126000 is 62129916.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230453866 + ... + 230454134.

It is an arithmetic number, because the mean of its divisors is an integer number (271589760).

Almost surely, 2^61992126000 is an apocalyptic number.

61992126000 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 61992126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130363084800).

61992126000 is an abundant number, since it is smaller than the sum of its proper divisors (198734043600).

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

61992126000 is a wasteful number, since it uses less digits than its factorization.

61992126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 61992126000 in words is "sixty-one billion, nine hundred ninety-two million, one hundred twenty-six thousand".