60951117427200 has 7200 divisors, whose sum is σ = 322382504949120. Its totient is φ = 11036196864000.

The previous prime is 60951117427177. The next prime is 60951117427201. The reversal of 60951117427200 is 272471115906.

60951117427200 is a `hidden beast` number, since 6 + 0 + 9 + 5 + 1 + 1 + 17 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (60951117427201) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 216907891060 + ... + 216907891340.

Almost surely, 2^{60951117427200} is an apocalyptic number.

60951117427200 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 60951117427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161191252474560).

60951117427200 is an abundant number, since it is smaller than the sum of its proper divisors (261431387521920).

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

60951117427200 is a wasteful number, since it uses less digits than its factorization.

60951117427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 60951117427200 in words is "sixty trillion, nine hundred fifty-one billion, one hundred seventeen million, four hundred twenty-seven thousand, two hundred".