20978276352 has 576 divisors, whose sum is σ = 70266268800. Its totient is φ = 5485363200.

The previous prime is 20978276327. The next prime is 20978276353. The reversal of 20978276352 is 25367287902.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 20978276295 and 20978276304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20978276353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676718577 + ... + 676718607.

It is an arithmetic number, because the mean of its divisors is an integer number (121990050).

Almost surely, 2^20978276352 is an apocalyptic number.

20978276352 is a gapful number since it is divisible by the number (22) 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 20978276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35133134400).

20978276352 is an abundant number, since it is smaller than the sum of its proper divisors (49287992448).

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

20978276352 is a wasteful number, since it uses less digits than its factorization.

20978276352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 20978276352 in words is "twenty billion, nine hundred seventy-eight million, two hundred seventy-six thousand, three hundred fifty-two".