39725478274560 has 1280 divisors, whose sum is σ = 146613576130560. Its totient is φ = 9089612513280.

The previous prime is 39725478274541. The next prime is 39725478274567. The reversal of 39725478274560 is 6547287452793.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×39725478274560² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39725478274567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82934192401 + ... + 82934192879.

It is an arithmetic number, because the mean of its divisors is an integer number (114541856352).

Almost surely, 2^{39725478274560} is an apocalyptic number.

39725478274560 is a gapful number since it is divisible by the number (30) 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 39725478274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73306788065280).

39725478274560 is an abundant number, since it is smaller than the sum of its proper divisors (106888097856000).

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

39725478274560 is a wasteful number, since it uses less digits than its factorization.

39725478274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 69.

The spelling of 39725478274560 in words is "thirty-nine trillion, seven hundred twenty-five billion, four hundred seventy-eight million, two hundred seventy-four thousand, five hundred sixty".