4977865052160 has 1664 divisors, whose sum is σ = 22130137128960. Its totient is φ = 921541017600.

The previous prime is 4977865052129. The next prime is 4977865052179. The reversal of 4977865052160 is 612505687794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4977865052094 and 4977865052103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1783540365 + ... + 1783543155.

Almost surely, 2^{4977865052160} is an apocalyptic number.

4977865052160 is a gapful number since it is divisible by the number (40) 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 4977865052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065068564480).

4977865052160 is an abundant number, since it is smaller than the sum of its proper divisors (17152272076800).

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

4977865052160 is a wasteful number, since it uses less digits than its factorization.

4977865052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 4977865052160 in words is "four trillion, nine hundred seventy-seven billion, eight hundred sixty-five million, fifty-two thousand, one hundred sixty".