20077515100000 has 576 divisors, whose sum is σ = 53006571362304. Its totient is φ = 7459200000000.

The previous prime is 20077515099979. The next prime is 20077515100039. The reversal of 20077515100000 is 151577002.

It is a super-2 number, since 2×20077515100000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79990099875 + ... + 79990100125.

It is an arithmetic number, because the mean of its divisors is an integer number (92025297504).

Almost surely, 2^{20077515100000} is an apocalyptic number.

20077515100000 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 20077515100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503285681152).

20077515100000 is an abundant number, since it is smaller than the sum of its proper divisors (32929056262304).

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

20077515100000 is a wasteful number, since it uses less digits than its factorization.

20077515100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

Adding to 20077515100000 its reverse (151577002), we get a palindrome (20077666677002).

The spelling of 20077515100000 in words is "twenty trillion, seventy-seven billion, five hundred fifteen million, one hundred thousand".