60121543680 has 1056 divisors, whose sum is σ = 247208951808. Its totient is φ = 13868236800.

The previous prime is 60121543663. The next prime is 60121543693. The reversal of 60121543680 is 8634512106.

It is a happy number.

60121543680 is a `hidden beast` number, since 6 + 0 + 1 + 215 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×60121543680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314772385 + ... + 314772575.

Almost surely, 2^60121543680 is an apocalyptic number.

60121543680 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 60121543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123604475904).

60121543680 is an abundant number, since it is smaller than the sum of its proper divisors (187087408128).

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

60121543680 is a wasteful number, since it uses less digits than its factorization.

60121543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 60121543680 in words is "sixty billion, one hundred twenty-one million, five hundred forty-three thousand, six hundred eighty".