60981885296640 has 3024 divisors, whose sum is σ = 279223821184464. Its totient is φ = 12641461862400.

The previous prime is 60981885296639. The next prime is 60981885296659. The reversal of 60981885296640 is 4669258818906.

60981885296640 is a `hidden beast` number, since 6 + 0 + 98 + 1 + 8 + 8 + 529 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 144850083630 + ... + 144850084050.

Almost surely, 2^{60981885296640} is an apocalyptic number.

60981885296640 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 60981885296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139611910592232).

60981885296640 is an abundant number, since it is smaller than the sum of its proper divisors (218241935887824).

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

60981885296640 is an frugal number, since it uses more digits than its factorization.

60981885296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 60981885296640 in words is "sixty trillion, nine hundred eighty-one billion, eight hundred eighty-five million, two hundred ninety-six thousand, six hundred forty".