60987971520 has 840 divisors, whose sum is σ = 260673494400. Its totient is φ = 13481717760.

The previous prime is 60987971491. The next prime is 60987971537. The reversal of 60987971520 is 2517978906.

60987971520 is a `hidden beast` number, since 609 + 8 + 7 + 9 + 7 + 1 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×60987971520² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39371706 + ... + 39373254.

Almost surely, 2^60987971520 is an apocalyptic number.

60987971520 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 60987971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130336747200).

60987971520 is an abundant number, since it is smaller than the sum of its proper divisors (199685522880).

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

60987971520 is a wasteful number, since it uses less digits than its factorization.

60987971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 60987971520 in words is "sixty billion, nine hundred eighty-seven million, nine hundred seventy-one thousand, five hundred twenty".