9851977553796 has 405 divisors, whose sum is σ = 31064804439669. Its totient is φ = 2714623015104.

The previous prime is 9851977553773. The next prime is 9851977553807. The reversal of 9851977553796 is 6973557791589.

The square root of 9851977553796 is 3138786.

It is a perfect power (a square), and thus also a powerful number.

9851977553796 is a `hidden beast` number, since 9 + 8 + 5 + 1 + 9 + 7 + 75 + 537 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5166138051396 + 4685839502400 = 2272914^2 + 2164680^2 .

It is a super-2 number, since 2×9851977553796² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (4500846000) is a multiple of the sum of its prime divisors (900).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11469123615 + ... + 11469124473.

Almost surely, 2^{9851977553796} is an apocalyptic number.

9851977553796 is the 3138786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9851977553796

9851977553796 is an abundant number, since it is smaller than the sum of its proper divisors (21212826885873).

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

9851977553796 is an equidigital number, since it uses as much as digits as its factorization.

9851977553796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 900 counting only the distinct ones).

The product of its digits is 4500846000, while the sum is 81.

Multiplying 9851977553796 by its sum of digits (81), we get a square (798010181857476 = 28249074²).

9851977553796 divided by its sum of digits (81) gives a square (121629352516 = 348754²).

The spelling of 9851977553796 in words is "nine trillion, eight hundred fifty-one billion, nine hundred seventy-seven million, five hundred fifty-three thousand, seven hundred ninety-six".