48629176078560 has 1536 divisors, whose sum is σ = 199441634918400. Its totient is φ = 9664210698240.

The previous prime is 48629176078547. The next prime is 48629176078583. The reversal of 48629176078560 is 6587067192684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65449765549 + ... + 65449766291.

It is an arithmetic number, because the mean of its divisors is an integer number (129844814400).

Almost surely, 2^{48629176078560} is an apocalyptic number.

48629176078560 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 48629176078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720817459200).

48629176078560 is an abundant number, since it is smaller than the sum of its proper divisors (150812458839840).

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

48629176078560 is a wasteful number, since it uses less digits than its factorization.

48629176078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 48629176078560 in words is "forty-eight trillion, six hundred twenty-nine billion, one hundred seventy-six million, seventy-eight thousand, five hundred sixty".