1541152981620 has 288 divisors, whose sum is σ = 5591384198400. Its totient is φ = 349030923264.

The previous prime is 1541152981601. The next prime is 1541152981639. The reversal of 1541152981620 is 261892511451.

1541152981620 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 15 + 2 + 9 + 8 + 1 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (1541152981601) and next prime (1541152981639).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500376 + ... + 3915984.

Almost surely, 2^{1541152981620} is an apocalyptic number.

1541152981620 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 1541152981620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795692099200).

1541152981620 is an abundant number, since it is smaller than the sum of its proper divisors (4050231216780).

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

1541152981620 is a wasteful number, since it uses less digits than its factorization.

1541152981620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415749 (or 415735 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1541152981620 in words is "one trillion, five hundred forty-one billion, one hundred fifty-two million, nine hundred eighty-one thousand, six hundred twenty".