61981983122400 has 2592 divisors, whose sum is σ = 264893509730304. Its totient is φ = 13565325312000.

The previous prime is 61981983122341. The next prime is 61981983122413. The reversal of 61981983122400 is 422138918916.

It is a happy number.

61981983122400 is a `hidden beast` number, since 6 + 1 + 9 + 81 + 9 + 8 + 312 + 240 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 58308544269 + ... + 58308545331.

It is an arithmetic number, because the mean of its divisors is an integer number (102196570112).

Almost surely, 2^{61981983122400} is an apocalyptic number.

61981983122400 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 61981983122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132446754865152).

61981983122400 is an abundant number, since it is smaller than the sum of its proper divisors (202911526607904).

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

61981983122400 is a wasteful number, since it uses less digits than its factorization.

61981983122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 61981983122400 in words is "sixty-one trillion, nine hundred eighty-one billion, nine hundred eighty-three million, one hundred twenty-two thousand, four hundred".