61294229280 has 480 divisors, whose sum is σ = 221210922240. Its totient is φ = 15979991040.

The previous prime is 61294229279. The next prime is 61294229303. The reversal of 61294229280 is 8292249216.

61294229280 is a `hidden beast` number, since 61 + 2 + 9 + 422 + 92 + 80 = 666.

61294229280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134122812 + ... + 134123268.

It is an arithmetic number, because the mean of its divisors is an integer number (460856088).

Almost surely, 2^61294229280 is an apocalyptic number.

61294229280 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 61294229280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605461120).

61294229280 is an abundant number, since it is smaller than the sum of its proper divisors (159916692960).

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

61294229280 is a wasteful number, since it uses less digits than its factorization.

61294229280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61294229280 in words is "sixty-one billion, two hundred ninety-four million, two hundred twenty-nine thousand, two hundred eighty".