10120758471936 has 540 divisors, whose sum is σ = 35130312259812. Its totient is φ = 2889588473856.

The previous prime is 10120758471877. The next prime is 10120758471959. The reversal of 10120758471936 is 63917485702101.

10120758471936 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 7 + 584 + 7 + 1 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6643279431936 + 3477479040000 = 2577456^2 + 1864800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1964049136 + ... + 1964054288.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10120758471936 = 20241516943872, but 3⋅10120758471936 = 30362275415808 is not.

Almost surely, 2^{10120758471936} is an apocalyptic number.

10120758471936 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 10120758471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17565156129906).

10120758471936 is an abundant number, since it is smaller than the sum of its proper divisors (25009553787876).

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

10120758471936 is an equidigital number, since it uses as much as digits as its factorization.

10120758471936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10120758471936 in words is "ten trillion, one hundred twenty billion, seven hundred fifty-eight million, four hundred seventy-one thousand, nine hundred thirty-six".