155978922240 has 1152 divisors, whose sum is σ = 627818688000. Its totient is φ = 36436967424.

The previous prime is 155978922227. The next prime is 155978922251. The reversal of 155978922240 is 42229879551.

155978922240 is a `hidden beast` number, since 1 + 5 + 597 + 8 + 9 + 2 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 993496242 + ... + 993496398.

It is an arithmetic number, because the mean of its divisors is an integer number (544981500).

Almost surely, 2^155978922240 is an apocalyptic number.

155978922240 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 155978922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313909344000).

155978922240 is an abundant number, since it is smaller than the sum of its proper divisors (471839765760).

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

155978922240 is a wasteful number, since it uses less digits than its factorization.

155978922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 155978922240 in words is "one hundred fifty-five billion, nine hundred seventy-eight million, nine hundred twenty-two thousand, two hundred forty".