61412550000 has 480 divisors, whose sum is σ = 209794572288. Its totient is φ = 15456000000.

The previous prime is 61412549981. The next prime is 61412550007. The reversal of 61412550000 is 5521416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61412550007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218549860 + ... + 218550140.

Almost surely, 2^61412550000 is an apocalyptic number.

61412550000 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 61412550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104897286144).

61412550000 is an abundant number, since it is smaller than the sum of its proper divisors (148382022288).

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

61412550000 is a wasteful number, since it uses less digits than its factorization.

61412550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 61412550000 in words is "sixty-one billion, four hundred twelve million, five hundred fifty thousand".