60428715782400 has 1944 divisors, whose sum is σ = 263077990680960. Its totient is φ = 13169861591040.

The previous prime is 60428715782387. The next prime is 60428715782417. The reversal of 60428715782400 is 428751782406.

60428715782400 is a `hidden beast` number, since 6 + 0 + 4 + 2 + 8 + 7 + 157 + 82 + 400 = 666.

It is a super-2 number, since 2×60428715782400² (a number of 28 digits) contains 22 as substring.

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, 23304555504 + ... + 23304558096.

Almost surely, 2^{60428715782400} is an apocalyptic number.

60428715782400 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 60428715782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131538995340480).

60428715782400 is an abundant number, since it is smaller than the sum of its proper divisors (202649274898560).

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

60428715782400 is a wasteful number, since it uses less digits than its factorization.

60428715782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 60428715782400 in words is "sixty trillion, four hundred twenty-eight billion, seven hundred fifteen million, seven hundred eighty-two thousand, four hundred".