60877954800 has 540 divisors, whose sum is σ = 237933182760. Its totient is φ = 14327976960.

The previous prime is 60877954769. The next prime is 60877954807. The reversal of 60877954800 is 845977806.

60877954800 is a `hidden beast` number, since 6 + 0 + 8 + 77 + 95 + 480 + 0 = 666.

It is a super-4 number, since 4×60877954800⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60877954807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24755971 + ... + 24758429.

Almost surely, 2^60877954800 is an apocalyptic number.

60877954800 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 60877954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118966591380).

60877954800 is an abundant number, since it is smaller than the sum of its proper divisors (177055227960).

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

60877954800 is a wasteful number, since it uses less digits than its factorization.

60877954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 60877954800 in words is "sixty billion, eight hundred seventy-seven million, nine hundred fifty-four thousand, eight hundred".