20495749249976 has 256 divisors, whose sum is σ = 51944046336000. Its totient is φ = 7321744742400.

The previous prime is 20495749249951. The next prime is 20495749249981. The reversal of 20495749249976 is 67994294759402.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a junction number, because it is equal to n+sod(n) for n = 20495749249897 and 20495749249906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976861406 + ... + 976882386.

It is an arithmetic number, because the mean of its divisors is an integer number (202906431000).

Almost surely, 2^{20495749249976} is an apocalyptic number.

20495749249976 is a gapful number since it is divisible by the number (26) 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 20495749249976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972023168000).

20495749249976 is an abundant number, since it is smaller than the sum of its proper divisors (31448297086024).

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

20495749249976 is a wasteful number, since it uses less digits than its factorization.

20495749249976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21830 (or 21826 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 77.

The spelling of 20495749249976 in words is "twenty trillion, four hundred ninety-five billion, seven hundred forty-nine million, two hundred forty-nine thousand, nine hundred seventy-six".