4960177860000 has 960 divisors, whose sum is σ = 18144542287872. Its totient is φ = 1176000000000.

The previous prime is 4960177859993. The next prime is 4960177860067. The reversal of 4960177860000 is 687710694.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7075859650 + ... + 7075860350.

Almost surely, 2^{4960177860000} is an apocalyptic number.

4960177860000 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 4960177860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072271143936).

4960177860000 is an abundant number, since it is smaller than the sum of its proper divisors (13184364427872).

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

4960177860000 is a wasteful number, since it uses less digits than its factorization.

4960177860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 4960177860000 in words is "four trillion, nine hundred sixty billion, one hundred seventy-seven million, eight hundred sixty thousand".