1520216653136 has 80 divisors (see below), whose sum is σ = 3147829776000. Its totient is φ = 708740296704.

The previous prime is 1520216653121. The next prime is 1520216653139. The reversal of 1520216653136 is 6313566120251.

It is a super-2 number, since 2×1520216653136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1520216653093 and 1520216653102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520216653139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12551555 + ... + 12672093.

It is an arithmetic number, because the mean of its divisors is an integer number (39347872200).

Almost surely, 2^{1520216653136} is an apocalyptic number.

1520216653136 is a gapful number since it is divisible by the number (16) 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 1520216653136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573914888000).

1520216653136 is an abundant number, since it is smaller than the sum of its proper divisors (1627613122864).

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

1520216653136 is a wasteful number, since it uses less digits than its factorization.

1520216653136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120996 (or 120990 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 1520216653136 in words is "one trillion, five hundred twenty billion, two hundred sixteen million, six hundred fifty-three thousand, one hundred thirty-six".