10780074527040 has 1680 divisors, whose sum is σ = 50129026561152. Its totient is φ = 2175510306816.

The previous prime is 10780074526993. The next prime is 10780074527113. The reversal of 10780074527040 is 4072547008701.

10780074527040 is a `hidden beast` number, since 1 + 0 + 7 + 80 + 0 + 7 + 4 + 527 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 379739727 + ... + 379768113.

Almost surely, 2^{10780074527040} is an apocalyptic number.

10780074527040 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 10780074527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25064513280576).

10780074527040 is an abundant number, since it is smaller than the sum of its proper divisors (39348952034112).

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

10780074527040 is a wasteful number, since it uses less digits than its factorization.

10780074527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28466 (or 28440 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 10780074527040 in words is "ten trillion, seven hundred eighty billion, seventy-four million, five hundred twenty-seven thousand, forty".