61571262240 has 288 divisors, whose sum is σ = 218441059200. Its totient is φ = 16377790464.

The previous prime is 61571262229. The next prime is 61571262323. The reversal of 61571262240 is 4226217516.

It is a happy number.

61571262240 is a `hidden beast` number, since 6 + 1 + 571 + 2 + 62 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61571262195 and 61571262204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17455357 + ... + 17458883.

It is an arithmetic number, because the mean of its divisors is an integer number (758475900).

Almost surely, 2^61571262240 is an apocalyptic number.

61571262240 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 61571262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109220529600).

61571262240 is an abundant number, since it is smaller than the sum of its proper divisors (156869796960).

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

61571262240 is a wasteful number, since it uses less digits than its factorization.

61571262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 61571262240 its reverse (4226217516), we get a palindrome (65797479756).

The spelling of 61571262240 in words is "sixty-one billion, five hundred seventy-one million, two hundred sixty-two thousand, two hundred forty".