20607076151040 has 432 divisors, whose sum is σ = 67665531888864. Its totient is φ = 5344717701120.

The previous prime is 20607076151029. The next prime is 20607076151047. The reversal of 20607076151040 is 4015167070602.

It is a self number, because there is not a number n which added to its sum of digits gives 20607076151040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20607076151047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175343744 + ... + 2175353216.

Almost surely, 2^{20607076151040} is an apocalyptic number.

20607076151040 is a gapful number since it is divisible by the number (20) 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 20607076151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33832765944432).

20607076151040 is an abundant number, since it is smaller than the sum of its proper divisors (47058455737824).

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

20607076151040 is an equidigital number, since it uses as much as digits as its factorization.

20607076151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20607076151040 in words is "twenty trillion, six hundred seven billion, seventy-six million, one hundred fifty-one thousand, forty".