62091431616000 has 640 divisors, whose sum is σ = 207563349666816. Its totient is φ = 16467745996800.

The previous prime is 62091431615957. The next prime is 62091431616013. The reversal of 62091431616000 is 61613419026.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 62091431616000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47652671349 + ... + 47652672651.

Almost surely, 2^{62091431616000} is an apocalyptic number.

62091431616000 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 62091431616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103781674833408).

62091431616000 is an abundant number, since it is smaller than the sum of its proper divisors (145471918050816).

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

62091431616000 is a wasteful number, since it uses less digits than its factorization.

62091431616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 62091431616000 in words is "sixty-two trillion, ninety-one billion, four hundred thirty-one million, six hundred sixteen thousand".