61469291520 has 1056 divisors, whose sum is σ = 266522151168. Its totient is φ = 12754354176.

The previous prime is 61469291479. The next prime is 61469291537. The reversal of 61469291520 is 2519296416.

61469291520 is a `hidden beast` number, since 61 + 4 + 69 + 2 + 9 + 1 + 520 = 666.

61469291520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 448680892 + ... + 448681028.

Almost surely, 2^61469291520 is an apocalyptic number.

61469291520 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 61469291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133261075584).

61469291520 is an abundant number, since it is smaller than the sum of its proper divisors (205052859648).

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

61469291520 is a wasteful number, since it uses less digits than its factorization.

61469291520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 61469291520 in words is "sixty-one billion, four hundred sixty-nine million, two hundred ninety-one thousand, five hundred twenty".