4951205267760 has 480 divisors, whose sum is σ = 17832726632448. Its totient is φ = 1275373486080.

The previous prime is 4951205267759. The next prime is 4951205267777. The reversal of 4951205267760 is 677625021594.

It is a happy number.

4951205267760 is a `hidden beast` number, since 4 + 9 + 51 + 2 + 0 + 526 + 7 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4951205267697 and 4951205267706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339279024 + ... + 339293616.

Almost surely, 2^{4951205267760} is an apocalyptic number.

4951205267760 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 4951205267760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916363316224).

4951205267760 is an abundant number, since it is smaller than the sum of its proper divisors (12881521364688).

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

4951205267760 is a wasteful number, since it uses less digits than its factorization.

4951205267760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 4951205267760 in words is "four trillion, nine hundred fifty-one billion, two hundred five million, two hundred sixty-seven thousand, seven hundred sixty".