10154755160640 has 168 divisors, whose sum is σ = 34946733906240. Its totient is φ = 2706492109824.

The previous prime is 10154755160629. The next prime is 10154755160659. The reversal of 10154755160640 is 4606155745101.

10154755160640 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 4 + 75 + 516 + 0 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4473267 + ... + 6349773.

Almost surely, 2^{10154755160640} is an apocalyptic number.

10154755160640 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 10154755160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473366953120).

10154755160640 is an abundant number, since it is smaller than the sum of its proper divisors (24791978745600).

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

10154755160640 is a wasteful number, since it uses less digits than its factorization.

10154755160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878409 (or 1878396 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 10154755160640 in words is "ten trillion, one hundred fifty-four billion, seven hundred fifty-five million, one hundred sixty thousand, six hundred forty".