61299979200 has 336 divisors, whose sum is σ = 223853410560. Its totient is φ = 16317987840.

The previous prime is 61299979189. The next prime is 61299979217. The reversal of 61299979200 is 297999216.

61299979200 is a `hidden beast` number, since 61 + 299 + 97 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 38144797 + ... + 38146403.

Almost surely, 2^61299979200 is an apocalyptic number.

61299979200 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 61299979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111926705280).

61299979200 is an abundant number, since it is smaller than the sum of its proper divisors (162553431360).

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

61299979200 is a wasteful number, since it uses less digits than its factorization.

61299979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 61299979200 in words is "sixty-one billion, two hundred ninety-nine million, nine hundred seventy-nine thousand, two hundred".