10216551452040 has 80 divisors (see below), whose sum is σ = 34338964613580. Its totient is φ = 2724413719680.

The previous prime is 10216551452033. The next prime is 10216551452057. The reversal of 10216551452040 is 4025415561201.

10216551452040 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 551 + 45 + 20 + 40 = 666.

10216551452040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10098934005924 + 117617446116 = 3177882^2 + 342954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10216551451986 and 10216551452004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1576625071 + ... + 1576631550.

Almost surely, 2^{10216551452040} is an apocalyptic number.

10216551452040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216551452040 is an abundant number, since it is smaller than the sum of its proper divisors (24122413161540).

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

10216551452040 is a wasteful number, since it uses less digits than its factorization.

10216551452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153256644 (or 3153256631 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10216551452040 in words is "ten trillion, two hundred sixteen billion, five hundred fifty-one million, four hundred fifty-two thousand, forty".