61522886880 has 1152 divisors, whose sum is σ = 274134067200. Its totient is φ = 12771053568.

The previous prime is 61522886849. The next prime is 61522886917. The reversal of 61522886880 is 8868822516.

It is a happy number.

It is a super-2 number, since 2×61522886880² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217395219 + ... + 217395501.

It is an arithmetic number, because the mean of its divisors is an integer number (237963600).

Almost surely, 2^61522886880 is an apocalyptic number.

61522886880 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 61522886880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067033600).

61522886880 is an abundant number, since it is smaller than the sum of its proper divisors (212611180320).

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

61522886880 is a wasteful number, since it uses less digits than its factorization.

61522886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 61522886880 in words is "sixty-one billion, five hundred twenty-two million, eight hundred eighty-six thousand, eight hundred eighty".