1372601090880 has 616 divisors, whose sum is σ = 5192342703432. Its totient is φ = 344415338496.

The previous prime is 1372601090827. The next prime is 1372601090891. The reversal of 1372601090880 is 880901062731.

1372601090880 is a `hidden beast` number, since 1 + 37 + 2 + 601 + 0 + 9 + 0 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161932198464 + 1210668892416 = 402408^2 + 1100304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 87 ways as a sum of consecutive naturals, for example, 321224424 + ... + 321228696.

Almost surely, 2^{1372601090880} is an apocalyptic number.

1372601090880 is a gapful number since it is divisible by the number (10) 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 1372601090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596171351716).

1372601090880 is an abundant number, since it is smaller than the sum of its proper divisors (3819741612552).

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

1372601090880 is an frugal number, since it uses more digits than its factorization.

1372601090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1372601090880 in words is "one trillion, three hundred seventy-two billion, six hundred one million, ninety thousand, eight hundred eighty".