155661653952 has 672 divisors, whose sum is σ = 541866124800. Its totient is φ = 42674688000.

The previous prime is 155661653947. The next prime is 155661654013. The reversal of 155661653952 is 259356166551.

155661653952 is a `hidden beast` number, since 1 + 5 + 56 + 6 + 1 + 6 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×155661653952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620165827 + ... + 620166077.

It is an arithmetic number, because the mean of its divisors is an integer number (806348400).

Almost surely, 2^155661653952 is an apocalyptic number.

155661653952 is a gapful number since it is divisible by the number (12) 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 155661653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270933062400).

155661653952 is an abundant number, since it is smaller than the sum of its proper divisors (386204470848).

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

155661653952 is a wasteful number, since it uses less digits than its factorization.

155661653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 379 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The spelling of 155661653952 in words is "one hundred fifty-five billion, six hundred sixty-one million, six hundred fifty-three thousand, nine hundred fifty-two".