60959938314240 has 2560 divisors, whose sum is σ = 264140236800000. Its totient is φ = 13484225986560.

The previous prime is 60959938314221. The next prime is 60959938314257. The reversal of 60959938314240 is 4241383995906.

60959938314240 is a `hidden beast` number, since 6 + 0 + 9 + 5 + 9 + 9 + 383 + 1 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×60959938314240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1966449623025 + ... + 1966449623055.

It is an arithmetic number, because the mean of its divisors is an integer number (103179780000).

Almost surely, 2^{60959938314240} is an apocalyptic number.

60959938314240 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 60959938314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132070118400000).

60959938314240 is an abundant number, since it is smaller than the sum of its proper divisors (203180298485760).

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

60959938314240 is an frugal number, since it uses more digits than its factorization.

60959938314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 60959938314240 in words is "sixty trillion, nine hundred fifty-nine billion, nine hundred thirty-eight million, three hundred fourteen thousand, two hundred forty".