155001948364800 has 3360 divisors, whose sum is σ = 622982212300800. Its totient is φ = 38018026045440.

The previous prime is 155001948364793. The next prime is 155001948364801. The reversal of 155001948364800 is 8463849100551.

It is a happy number.

155001948364800 is a `hidden beast` number, since 1 + 5 + 500 + 1 + 94 + 8 + 3 + 6 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155001948364801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1220487782337 + ... + 1220487782463.

Almost surely, 2^{155001948364800} is an apocalyptic number.

155001948364800 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 155001948364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311491106150400).

155001948364800 is an abundant number, since it is smaller than the sum of its proper divisors (467980263936000).

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

155001948364800 is a wasteful number, since it uses less digits than its factorization.

155001948364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 155001948364800 in words is "one hundred fifty-five trillion, one billion, nine hundred forty-eight million, three hundred sixty-four thousand, eight hundred".