61870512000 has 512 divisors, whose sum is σ = 229866024960. Its totient is φ = 14588928000.

The previous prime is 61870511971. The next prime is 61870512013. The reversal of 61870512000 is 21507816.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19534417 + ... + 19537583.

It is an arithmetic number, because the mean of its divisors is an integer number (448957080).

Almost surely, 2^61870512000 is an apocalyptic number.

61870512000 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 61870512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114933012480).

61870512000 is an abundant number, since it is smaller than the sum of its proper divisors (167995512960).

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

61870512000 is a wasteful number, since it uses less digits than its factorization.

61870512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 61870512000 in words is "sixty-one billion, eight hundred seventy million, five hundred twelve thousand".