4912515578880 has 5280 divisors, whose sum is σ = 25063863644160. Its totient is φ = 894361927680.

The previous prime is 4912515578857. The next prime is 4912515578891. The reversal of 4912515578880 is 888755152194.

4912515578880 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 51 + 5 + 578 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 158468244465 + ... + 158468244495.

It is an arithmetic number, because the mean of its divisors is an integer number (4746943872).

Almost surely, 2^{4912515578880} is an apocalyptic number.

4912515578880 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 4912515578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531931822080).

4912515578880 is an abundant number, since it is smaller than the sum of its proper divisors (20151348065280).

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

4912515578880 is a wasteful number, since it uses less digits than its factorization.

4912515578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 63.

The spelling of 4912515578880 in words is "four trillion, nine hundred twelve billion, five hundred fifteen million, five hundred seventy-eight thousand, eight hundred eighty".