48976029083520 has 3072 divisors, whose sum is σ = 224478287953920. Its totient is φ = 9543204864000.

The previous prime is 48976029083441. The next prime is 48976029083543. The reversal of 48976029083520 is 2538092067984.

48976029083520 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 6 + 0 + 29 + 0 + 83 + 520 = 666.

It is a super-2 number, since 2×48976029083520² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 159531039207 + ... + 159531039513.

It is an arithmetic number, because the mean of its divisors is an integer number (73072359360).

Almost surely, 2^{48976029083520} is an apocalyptic number.

48976029083520 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 48976029083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112239143976960).

48976029083520 is an abundant number, since it is smaller than the sum of its proper divisors (175502258870400).

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

48976029083520 is a wasteful number, since it uses less digits than its factorization.

48976029083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 48976029083520 in words is "forty-eight trillion, nine hundred seventy-six billion, twenty-nine million, eighty-three thousand, five hundred twenty".