1954142228520 has 96 divisors (see below), whose sum is σ = 6360688830600. Its totient is φ = 520306515456.

The previous prime is 1954142228503. The next prime is 1954142228537. The reversal of 1954142228520 is 258222414591.

1954142228520 is a `hidden beast` number, since 1 + 9 + 5 + 414 + 2 + 228 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1954142228503) and next prime (1954142228537).

It can be written as a sum of positive squares in 4 ways, for example, as 1058359482756 + 895782745764 = 1028766^2 + 946458^2 .

It is a super-2 number, since 2×1954142228520² (a number of 25 digits) contains 22 as substring.

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, 3921255 + ... + 4391414.

Almost surely, 2^{1954142228520} is an apocalyptic number.

1954142228520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1954142228520 is an abundant number, since it is smaller than the sum of its proper divisors (4406546602080).

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

1954142228520 is a wasteful number, since it uses less digits than its factorization.

1954142228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313339 (or 8313332 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1954142228520 in words is "one trillion, nine hundred fifty-four billion, one hundred forty-two million, two hundred twenty-eight thousand, five hundred twenty".