60451038849600 has 3024 divisors, whose sum is σ = 268187784883200. Its totient is φ = 13343765299200.

The previous prime is 60451038849589. The next prime is 60451038849661. The reversal of 60451038849600 is 694883015406.

60451038849600 is a `hidden beast` number, since 6 + 0 + 4 + 510 + 3 + 88 + 49 + 6 + 0 + 0 = 666.

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

It is a super-3 number, since 3×60451038849600³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 134634830176 + ... + 134634830624.

It is an arithmetic number, because the mean of its divisors is an integer number (88686436800).

Almost surely, 2^{60451038849600} is an apocalyptic number.

60451038849600 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 60451038849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134093892441600).

60451038849600 is an abundant number, since it is smaller than the sum of its proper divisors (207736746033600).

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

60451038849600 is a wasteful number, since it uses less digits than its factorization.

60451038849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 60451038849600 in words is "sixty trillion, four hundred fifty-one billion, thirty-eight million, eight hundred forty-nine thousand, six hundred".