61862950104000 has 896 divisors, whose sum is σ = 213205015296000. Its totient is φ = 15786189619200.

The previous prime is 61862950103957. The next prime is 61862950104017. The reversal of 61862950104000 is 40105926816.

It is a super-2 number, since 2×61862950104000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43351751287 + ... + 43351752713.

It is an arithmetic number, because the mean of its divisors is an integer number (237952026000).

Almost surely, 2^{61862950104000} is an apocalyptic number.

61862950104000 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 61862950104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106602507648000).

61862950104000 is an abundant number, since it is smaller than the sum of its proper divisors (151342065192000).

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

61862950104000 is a wasteful number, since it uses less digits than its factorization.

61862950104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 61862950104000 in words is "sixty-one trillion, eight hundred sixty-two billion, nine hundred fifty million, one hundred four thousand".