61820825456 has 80 divisors (see below), whose sum is σ = 133246971648. Its totient is φ = 27592704000.

The previous prime is 61820825393. The next prime is 61820825461. The reversal of 61820825456 is 65452802816.

It is a super-2 number, since 2×61820825456² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61820825456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874256 + ... + 12879056.

Almost surely, 2^61820825456 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 61820825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66623485824).

61820825456 is an abundant number, since it is smaller than the sum of its proper divisors (71426146192).

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

61820825456 is a wasteful number, since it uses less digits than its factorization.

61820825456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The spelling of 61820825456 in words is "sixty-one billion, eight hundred twenty million, eight hundred twenty-five thousand, four hundred fifty-six".