61652529761280 has 352 divisors, whose sum is σ = 202168218651840. Its totient is φ = 16026430341120.

The previous prime is 61652529761171. The next prime is 61652529761297. The reversal of 61652529761280 is 8216792525616.

It is a super-2 number, since 2×61652529761280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773935212 + ... + 774014868.

Almost surely, 2^{61652529761280} is an apocalyptic number.

61652529761280 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 61652529761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101084109325920).

61652529761280 is an abundant number, since it is smaller than the sum of its proper divisors (140515688890560).

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

61652529761280 is a wasteful number, since it uses less digits than its factorization.

61652529761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80955 (or 80937 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 61652529761280 in words is "sixty-one trillion, six hundred fifty-two billion, five hundred twenty-nine million, seven hundred sixty-one thousand, two hundred eighty".