155616215040 has 1360 divisors, whose sum is σ = 671431644576. Its totient is φ = 33973862400.

The previous prime is 155616215023. The next prime is 155616215057. The reversal of 155616215040 is 40512616551.

155616215040 is a `hidden beast` number, since 1 + 5 + 561 + 6 + 2 + 1 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (155616215023) and next prime (155616215057).

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 = 155616214986 and 155616215004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3795517420 + ... + 3795517460.

Almost surely, 2^155616215040 is an apocalyptic number.

155616215040 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 155616215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335715822288).

155616215040 is an abundant number, since it is smaller than the sum of its proper divisors (515815429536).

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

155616215040 is an equidigital number, since it uses as much as digits as its factorization.

155616215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 155616215040 in words is "one hundred fifty-five billion, six hundred sixteen million, two hundred fifteen thousand, forty".