10180590935040 has 880 divisors, whose sum is σ = 38142355470912. Its totient is φ = 2591696093184.

The previous prime is 10180590935027. The next prime is 10180590935077. The reversal of 10180590935040 is 4053909508101.

10180590935040 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 59 + 0 + 93 + 504 + 0 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8365316512 + ... + 8365317728.

Almost surely, 2^{10180590935040} is an apocalyptic number.

10180590935040 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 10180590935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071177735456).

10180590935040 is an abundant number, since it is smaller than the sum of its proper divisors (27961764535872).

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

10180590935040 is a wasteful number, since it uses less digits than its factorization.

10180590935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10180590935040 in words is "ten trillion, one hundred eighty billion, five hundred ninety million, nine hundred thirty-five thousand, forty".