39777909136 has 135 divisors (see below), whose sum is σ = 95464237089. Its totient is φ = 16006577664.

The previous prime is 39777909121. The next prime is 39777909137. The reversal of 39777909136 is 63190977793.

The square root of 39777909136 is 199444.

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

It can be written as a sum of positive squares in only one way, i.e., 30968960400 + 8808948736 = 175980^2 + 93856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39777909137) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94935135 + ... + 94935553.

Almost surely, 2^39777909136 is an apocalyptic number.

39777909136 is the 199444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39777909136

39777909136 is an abundant number, since it is smaller than the sum of its proper divisors (55686327953).

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

39777909136 is an equidigital number, since it uses as much as digits as its factorization.

39777909136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 61.

The spelling of 39777909136 in words is "thirty-nine billion, seven hundred seventy-seven million, nine hundred nine thousand, one hundred thirty-six".