10477935937296 has 135 divisors (see below), whose sum is σ = 29612028291573. Its totient is φ = 3458631294720.

The previous prime is 10477935937289. The next prime is 10477935937307. The reversal of 10477935937296 is 69273953977401.

It is a happy number.

The square root of 10477935937296 is 3236964.

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

10477935937296 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 7 + 9 + 3 + 593 + 7 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8310874896 + 10469625062400 = 91164^2 + 3235680^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4156260516 + ... + 4156263036.

Almost surely, 2^{10477935937296} is an apocalyptic number.

10477935937296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10477935937296 is the 3236964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10477935937296

10477935937296 is an abundant number, since it is smaller than the sum of its proper divisors (19134092354277).

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

10477935937296 is an frugal number, since it uses more digits than its factorization.

10477935937296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 540101520, while the sum is 72.

The spelling of 10477935937296 in words is "ten trillion, four hundred seventy-seven billion, nine hundred thirty-five million, nine hundred thirty-seven thousand, two hundred ninety-six".