120857478277536 has 1920 divisors, whose sum is σ = 508724820172800. Its totient is φ = 27103358730240.

The previous prime is 120857478277511. The next prime is 120857478277537. The reversal of 120857478277536 is 635772874758021.

120857478277536 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 7 + 4 + 7 + 82 + 7 + 7 + 536 = 666.

120857478277536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120857478277536² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120857478277537) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3894467076 + ... + 3894498108.

It is an arithmetic number, because the mean of its divisors is an integer number (264960843840).

Almost surely, 2^{120857478277536} is an apocalyptic number.

120857478277536 is a gapful number since it is divisible by the number (16) 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 120857478277536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254362410086400).

120857478277536 is an abundant number, since it is smaller than the sum of its proper divisors (387867341895264).

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

120857478277536 is a wasteful number, since it uses less digits than its factorization.

120857478277536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31184 (or 31167 counting only the distinct ones).

The product of its (nonzero) digits is 1106380800, while the sum is 72.

The spelling of 120857478277536 in words is "one hundred twenty trillion, eight hundred fifty-seven billion, four hundred seventy-eight million, two hundred seventy-seven thousand, five hundred thirty-six".