60915456000 has 768 divisors, whose sum is σ = 257572224000. Its totient is φ = 13912473600.

The previous prime is 60915455947. The next prime is 60915456089. The reversal of 60915456000 is 65451906.

60915456000 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 5 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48383371 + ... + 48384629.

It is an arithmetic number, because the mean of its divisors is an integer number (335380500).

Almost surely, 2^60915456000 is an apocalyptic number.

60915456000 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 60915456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112000).

60915456000 is an abundant number, since it is smaller than the sum of its proper divisors (196656768000).

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

60915456000 is a wasteful number, since it uses less digits than its factorization.

60915456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 60915456000 in words is "sixty billion, nine hundred fifteen million, four hundred fifty-six thousand".