48796562355840 has 1536 divisors, whose sum is σ = 189776950272000. Its totient is φ = 11540730839040.

The previous prime is 48796562355799. The next prime is 48796562355859. The reversal of 48796562355840 is 4855326569784.

48796562355840 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 6 + 5 + 6 + 2 + 35 + 584 + 0 = 666.

It is a super-2 number, since 2×48796562355840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67867263001 + ... + 67867263719.

It is an arithmetic number, because the mean of its divisors is an integer number (123552702000).

Almost surely, 2^{48796562355840} is an apocalyptic number.

48796562355840 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 48796562355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94888475136000).

48796562355840 is an abundant number, since it is smaller than the sum of its proper divisors (140980387916160).

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

48796562355840 is a wasteful number, since it uses less digits than its factorization.

48796562355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 48796562355840 in words is "forty-eight trillion, seven hundred ninety-six billion, five hundred sixty-two million, three hundred fifty-five thousand, eight hundred forty".