60851506694400 has 1728 divisors, whose sum is σ = 230607509341440. Its totient is φ = 15695924428800.

The previous prime is 60851506694359. The next prime is 60851506694477. The reversal of 60851506694400 is 449660515806.

60851506694400 is a `hidden beast` number, since 6 + 0 + 8 + 5 + 1 + 506 + 6 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252495878280 + ... + 252495878520.

Almost surely, 2^{60851506694400} is an apocalyptic number.

60851506694400 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 60851506694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115303754670720).

60851506694400 is an abundant number, since it is smaller than the sum of its proper divisors (169756002647040).

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

60851506694400 is a wasteful number, since it uses less digits than its factorization.

60851506694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 60851506694400 in words is "sixty trillion, eight hundred fifty-one billion, five hundred six million, six hundred ninety-four thousand, four hundred".