10270540800 has 792 divisors, whose sum is σ = 41392239616. Its totient is φ = 2508226560.

The previous prime is 10270540799. The next prime is 10270540811. The reversal of 10270540800 is 804507201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80870337 + ... + 80870463.

Almost surely, 2^10270540800 is an apocalyptic number.

10270540800 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 10270540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696119808).

10270540800 is an abundant number, since it is smaller than the sum of its proper divisors (31121698816).

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

10270540800 is a wasteful number, since it uses less digits than its factorization.

10270540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10270540800 in words is "ten billion, two hundred seventy million, five hundred forty thousand, eight hundred".